{"id":204,"date":"2023-12-21T10:55:38","date_gmt":"2023-12-21T01:55:38","guid":{"rendered":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/?page_id=204"},"modified":"2025-12-14T09:23:36","modified_gmt":"2025-12-14T00:23:36","slug":"seminar-fluidmath-info-old","status":"publish","type":"page","link":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/seminar-fluidmath\/seminar-fluidmath-info-old\/","title":{"rendered":"\u904e\u53bb\u306e\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc\u306e\u60c5\u5831"},"content":{"rendered":"<h2 align=\"center\">\u7b2c 24 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e74 12 \u6708 12\u65e5(\u91d1)\u00a0 14\u664215\u5206 \uff5e 15\u664215\u5206<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000Daniele Barbera \u6c0f (Politecnico di Torino)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Local existence through an energy method approach for<br \/>\nthe Beris-Edwards model for liquid crystals<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u3000In this talk, we consider the Beris-Edwards model for nematic liquid crystals, a state of matter intermediate between the solid state and the liquid state. In some previous works, it has been proved the Lp &#8211; Lq maximal regularity for the system in R^N and R^N+ . Generally, the local well-posedness of the problem is a consequence of such estimates. However, in the Beris-Edwards model the nonlinearities involve high order derivatives of the functions that prevents from applying a standard contraction argument. In the talk we show that, using an energy method approach and the structure of the problem in three dimensions, it is possible to get some cancellations of the high order terms and prove the local existence of the solution in the L2 setting. The seminar is based on a joint work with V. Georgiev, M. Murata and Y. Shibata.<\/li>\n<\/ul>\n<hr \/>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e74 12 \u6708 12\u65e5(\u91d1)\u00a0 15\u664230\u5206 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u91ce\u30f6\u5c71 \u5fb9 \u6c0f (\u6771\u4eac\u7406\u79d1\u5927\u5b66)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000<span data-olk-copy-source=\"MessageBody\">Maximal regularity estimates for heat equations on Besov spaces associated with Banach function spaces<\/span><\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\n<div data-olk-copy-source=\"MessageBody\">In this talk, we discuss the maximal regularity estimates for heat equations on the Besov spaces associated with ball Banach function spaces $\\dot{B}^s_{X, r}$. Here, $X$ is a ball Banach function space.<\/div>\n<div>It provides a general framework that includes many classical examples.<\/div>\n<div>For example, if we take $X=L^p$, then we recover the classical homogeneous Besov space, and if we take $X={\\mathcal M}^p_q$ (Morrey spaces), we obtain Besov\u2014Morrey spaces.<\/div>\n<div>To derive maximal regularity estimates, there are some general theories for Banach spaces with the UMD property. However, non-reflexive function spaces such as Morrey spaces don&#8217;t have the UMD property, so the general theory cannot be applied in this settings.<\/div>\n<div>In this talk, we introduce the maximal regularity estimates for Besov type spaces which include non-UMD function spaces.<\/div>\n<\/li>\n<\/ul>\n<h2 align=\"center\">\u7b2c 23 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e74 11 \u6708 14\u65e5(\u91d1)\u00a0 15\u664230\u5206 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u9234\u6728 \u653f\u5c0b \u6c0f (\u540d\u53e4\u5c4b\u5de5\u696d\u5927\u5b66)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Stationary flows for viscous heat-conductive fluid in a perturbed half-space<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u3000In this talk, we consider the non-isentropic compressible Navier&#8211;Stokes equation in a perturbed half-space with an outflow boundary condition as well as the supersonic condition. This equation models a compressible viscous, heat-conductive, and Newtonian polytropic fluid. We show the unique existence of stationary solutions for the perturbed half-space. The stationary solution depends on all directions and has multidirectional flow. We also prove the asymptotic stability of this stationary solution.<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c 22 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e74 10 \u6708 31\u65e5(\u91d1)\u00a0 16\u6642 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u9759\u5ca1\u5927\u5b66 \u6d5c\u677e\u30ad\u30e3\u30f3\u30d1\u30b9 \u7dcf\u5408\u7814\u7a76\u68df2\u968e \u7dcf22\u6559\u5ba4<br \/>\n\u203b\u3000\u901a\u5e38\u3068\u5834\u6240(\u5927\u5b66\u30fb\u30ad\u30e3\u30f3\u30d1\u30b9\u3082)\u304c\u9055\u3044\u307e\u3059\u306e\u3067\u3054\u6ce8\u610f\u304f\u3060\u3055\u3044.<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u698e\u672c\u3000\u88d5\u5b50 \u6c0f( \u829d\u6d66\u5de5\u696d\u5927\u5b66 )<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Stokes\u65b9\u7a0b\u5f0f\u306e\u81ea\u7531\u5883\u754c\u5024\u554f\u984c<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u3000\u672c\u8b1b\u6f14\u3067\u306f,\u5727\u7e2e\u6027\u7c98\u6027\u6d41\u4f53\u306e\u904b\u52d5\u3092\u8a18\u8ff0\u3059\u308bNavier-Stokes\u65b9\u7a0b\u5f0f\u306e\u81ea\u7531\u5883\u754c\u5024\u554f\u984c\u3092\u7dda\u5f62\u5316\u3057\u3066\u5f97\u3089\u308c\u308bStokes\u65b9\u7a0b\u5f0f\u306e\u81ea\u7531\u5883\u754c\u5024\u554f\u984c\u3092\u8003\u5bdf\u3059\u308b.<br \/>\n\u30ec\u30be\u30eb\u30d9\u30f3\u30c8\u554f\u984c\u3092Lame\u65b9\u7a0b\u5f0f\u306e\u6442\u52d5\u3068\u3057\u3066\u6271\u3044,\u305d\u306e\u30b9\u30da\u30af\u30c8\u30eb\u89e3\u6790\u306b\u3088\u3063\u3066\u89e3\u306e\u6642\u9593\u306b\u95a2\u3059\u308bL_1\u6700\u5927\u6b63\u5247\u6027\u3092\u793a\u3059.\u672c\u8b1b\u6f14\u306f,\u67f4\u7530\u826f\u5f18\u5148\u751f(\u65e9\u7a32\u7530\u5927\u5b66)\u3068\u306e\u5171\u540c\u7814\u7a76\u306b\u57fa\u3065\u304f\u7d50\u679c\u3067\u3042\u308b.<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c 21 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e74 7 \u6708 18\u65e5(\u91d1)\u00a0 16\u6642 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u5c0f\u5ddd \u5b9f\u91cc \u6c0f( \u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u5927\u5b66\u9662 \u4eba\u9593\u6587\u5316\u5275\u6210\u79d1\u5b66\u7814\u7a76\u79d1\u7406\u5b66\u5c02\u653b \u6570\u5b66\u9818\u57df )<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Existence theorem for global in time solutions to Burgers equation with distribution type time delay<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u3000By introducing a delay term into the Burgers equation which is known as a mathematical model of traffic flow, we can construct a model that takes into account the time delay between a driver\u2019s perception of surrounding congestion and their subsequent reaction. In this talk, I present results obtained by using semigroup theory concerning the global in time existence, uniqueness, and decay estimates of solutions to the Burgers equation with distribution type delay term.<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c 20 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e74 6 \u6708 13\u65e5(\u91d1)\u00a0 16\u6642 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u9ec4 \u88d5\u6dd9 \u6c0f( \u6771\u4eac\u79d1\u5b66\u5927\u5b66 \u60c5\u5831\u7406\u5de5\u5b66\u9662 \u6570\u7406\u30fb\u8a08\u7b97\u7cfb)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000The stability of spherically out-flowing viscous gas with general initial perturbation.<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: In this talk, I will discuss the time-asymptotic stability of a 3-dimensional spherically-symmetric out-flowing stationary solution to the compressible Navier-Stokes equations. More specifically, the fluid under consideration occupies an exterior domain of the unit ball. At the surface of the ball, the fluid is flowing out at a constant speed in the normal direction to the sphere. Under the assumption that fluid velocity at the far-field is 0 and the flow speed at the boundary sphere is sufficiently small, I. Hashimoto and A. Matsumura in 2021 proved the existence and uniqueness of a spherically-symmetric stationary solution. In this presentation, I will illustrate that such stationary solution is stable asymptotically in time under 2 types of initial perturbations: 1. spherically-symmetric initial data with large norm in some weighted H^1 Sobolev space; 2. general possibly non spherically-symmetric initial data with small norm in H^3 Sobolev space.<\/li>\n<\/ul>\n<h2 align=\"center\">\u7b2c 19 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e74 5 \u6708 23\u65e5(\u91d1)\u00a0 16\u6642 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000<span data-olk-copy-source=\"MessageBody\">\u5ca1\u90e8\u8003\u5b8f \u6c0f(\u6a2a\u6d5c\u56fd\u7acb\u5927\u5b66\u5927\u5b66\u9662\u56fd\u969b\u793e\u4f1a\u79d1\u5b66\u7814\u7a76\u9662\u30fb\u7d4c\u55b6\u5b66\u90e8)<\/span><\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Helmholtz-Weyl decomposition on a time dependent domain with an application to time periodic Navier-Stokes flows with large flux<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: We consider the Helmholtz-Weyl decomposition on a time dependent bounded domain \u03a9 in R^n. Especially, we investigate the domain dependence of each component in the decomposition, namely, the harmonic vector fields (i.e., div and rot free vectors), vector potentials, and scalar potentials equipped with suitable boundary conditions, when \u03a9(t) moves along to t\u00a0 in R. As an application, we construct a time periodic weak solution of the incompressible Navier-Stokes equations for some large boundary data with non-zero fluxes. This talk is based on the jointwork with Erika Ushikoshi and Haru Kanno.<\/li>\n<\/ul>\n<h2 align=\"center\">\u7b2c 18 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e74 5 \u6708 9\u65e5(\u91d1)\u00a0 15\u664230\u5206 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000<span data-olk-copy-source=\"MessageBody\">\u4e2d\u91cc\u4eae\u4ecb \u6c0f(\u4fe1\u5dde\u5927\u5b66)<\/span><\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Analyticity and its application to the solution of compressible Navier-Stokes-Korteweg equations with zero sound speed in scaling critical framework<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: We consider the initial-value problem for the compressible Navier-Stokes-Korteweg equations in the d-dimensional Euclidean space R^d (d\u22673).The system is well-known as the Diffuse Interface model describing the motion of a vaper-liquid mixture in a compressible viscous fluid. In this talk, we would like to handle the analyticity and time-decay estimates of the global-in-time solution around the constant equilibrium states (\u03c1_*,0) (\u03c1_*&gt;0) of the problem under the zero sound speed case (namely, P'(\u03c1_*)=0, where P=P(\u03c1) stands for the pressure) and scaling critical settings based on Fourier-Herz spaces. If time allows, we would introduce the result on the decay estimate of the first order asymptotic formula.This talk is based on the joint work with Prof. Takayuki Kobayashi (Osaka University).<\/li>\n<\/ul>\n<h2 align=\"center\">\u7b2c 17 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e744\u670825\u65e5(\u91d1)\u00a0 15\u664230\u5206\uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000<span data-olk-copy-source=\"MessageBody\">\u9ad8\u6a4b\u77e5\u5e0c \u6c0f(\u795e\u5948\u5ddd\u5927\u5b66\u5de5\u5b66\u90e8)<\/span><\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u00a0 Spatial pointwise behavior of gradient of Navier-Stokes flow around a rigid body moving by time-periodic motion,\u00a0 with applications to stability\/attainability of time periodic flow<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u00a0\u00a0 We consider the spatial pointwise behavior of the Navier-Stokes liquid<br \/>\naround a rigid body, moving by time-periodic motion. For the translational and angular velocity of a body, assuming besides smallness and regularity, either of the following conditions: (i) translation or rotation is absent; (ii) both velocities are parallel to the same constant vector. If time average over a period of translational velocity, \u03b6 (say), is nonzero (resp. zero), we then show that gradient of the velocity of the fluid decays like the one of the Oseen fundamental solution (resp. decays at the rate O(|x|^{-2})).\u00a0 Those estimates lead to the summability properties of the velocity field,\u00a0 which play an important role to understand the large time behavior of unsteady flows through stability\/attainability analysis of the related time periodic ones. To see this issue, we will provide new results in the following two settings: stability analysis in the case of (ii) with nonzero $\\zeta$; attainability analysis in the rotational case.<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c 16 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e74 3 \u6708 31\u65e5(\u6708) 14\u664230\u5206 \uff5e 15\u664230\u5206, 15\u664245\u5206 \u3000\uff5e 16\u664245\u5206<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000Prof. Mohammad Ferdows\u3000<span data-olk-copy-source=\"MessageBody\"> (University of Dhaka)<\/span><\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Thermofluid energy dissipative particle convective phenomena in Hybrid system<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u00a0 Motivated by materials processing and hybrid fuel cell applications, in the current paper a numerical energy Dissipative Particle Dynamics (eDPD) method is deployed to simulate natural convection heat transfer in a differentially heated enclosure filled with different hybrid nanofluids separately: Ag(50%)-ZnO(50%) + H\u2082O, TiO\u2082(50%) -SiO\u2082(50%) + H\u2082O(50%) -EG(50%), and SiC(50%) -CuO(50%) \/C nanocomposite(50%) + EG. Validation with previous experimental and numerical (finite volume method) studies from the literature is included. Deep feedforward neural networks (DFNNs) are additionally deployed to optimize Nusselt number (dimensionless wall heat transfer rate) values for hybrid nanoparticle concentrations. This study shows that using both eDPD simulations and machine learning can help improve and predict more effectively transport characteristics of hybrid nanofluids in enclosure flows of relevance to materials processing and fuel cell systems.<\/li>\n<\/ul>\n<hr \/>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e74 4\u67081\u65e5(\u706b) 14\u664230\u5206 \uff5e 15\u664230\u5206,15\u664245\u5206 \uff5e 16\u664245\u5206<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000Prof. Mohammad Ferdows\u3000<span data-olk-copy-source=\"MessageBody\"> (University of Dhaka)<\/span><\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Instabilities of Convective flow and heat transfer with flow physics<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u00a0 We shall begin to examine the stability properties of convection with Darcy-Rayleigh parameter and also the steady convection layer flow about a horizontal\/vertical surface generated by Newtonian heating and others will be considered. The governing boundary layer equations are first transformed into a system of non-dimensional equations via non-dimensional variables, and then into similar equations. Numerical solutions will obtain for flow stability, profiles and physical properties for various values of problem physical parameters. .<\/li>\n<\/ul>\n<hr \/>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e74 4\u6708 2\u65e5(\u6c34) 14\u664230\u5206 \uff5e 15\u664230\u5206,15\u664245\u5206 \uff5e 16\u664245\u5206<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000Prof. Mohammad Ferdows\u3000<span data-olk-copy-source=\"MessageBody\"> (University of Dhaka)<\/span><\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Biomegnetic flow through nano and ferro fluidic particles embedded by magnetic environment<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:A mathematical and computational analysis has been put forward that dealt with, in particular, the flow of a heated Ferro-fluid over a sheet under the action of a magnetic field generated by a magnetic dipole. We will be consistent with the principles of Ferrohydrodynamics (FHD) and Magnetohydrodynamics (MHD). This study is hoped to be helpful for more accurate understanding of blood flow in human body suffering from arterial or vascular diseases.<br \/>\nOn the other hand, we will examine the effects of uniform and non-uniform magnetic fields on suspensions of bio-magnetic fluid and nano-bio-magnetic fluid under hyperthermia. By manipulating the nature of the magnetic field, it is possible to raise or decrease the temperature in the flow domain of magnetic nano-fluids using COMSOL multi-physics.<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c 15 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2024 \u5e74 12\u67085\u65e5(\u6728) 15\u664230\u5206 \uff5e 16\u664230\u5206<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928629\u6559\u5ba4<br \/>\n(\u901a\u5e38\u3068\u6559\u5ba4\u304c\u7570\u306a\u308a\u307e\u3059\u306e\u3067\u3054\u6ce8\u610f\u304f\u3060\u3055\u3044)<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000Prof. Thomas Eiter\u3000<span data-olk-copy-source=\"MessageBody\"> (Freie Universitat Berlin)<\/span><\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Existence of time-periodic flow past a rotating body by uniform<br \/>\nresolvent estimates<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u00a0 We consider the time-periodic viscous flow around a rotating rigid\u00a0 body. Since the linearization of this problem is not well-posed in a setting of classical Sobolev spaces, we introduce a framework of homogeneous Sobolev spaces where the corresponding resolvent problems are uniquely solvable. In the case of a pure rotation, one can further derive uniform resolvent estimates, which lead to the existence of solutions to the time-periodic problem. However, in the case of a rotating and translating body, the uniformity of the resolvent estimates requires additional restrictions, and the existence of time-periodic solutions merely follows if the two present oscillating processes are compatible, that is, if the rotational velocity of the body and the angular velocity\u00a0 of the time-periodic forcing are rational multiples of each other. A counterexample suggests that this restriction is even necessary for existence of time-periodic solutions in the proposed functional framework.<\/li>\n<\/ul>\n<hr \/>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2024 \u5e74 12\u67086\u65e5(\u91d1) 14\u664215\u5206 \uff5e 16\u664230\u5206<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000Prof. Manuel V. Gnann<span class=\"C9DxTc \"> (Delft University of Technology)<\/span><\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Classical solutions to the thin-film equation with general mobility in the perfect-wetting regime<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u00a0 We prove well-posedness, partial regularity, and stability of the thin-film equation h_t + (m(h) h_{zzz})_z = 0 with general mobility m(h) = h^n and mobility exponent n\u2208 (1,3\/2)\u222a(3\/2,3) in the regime of perfect wetting (zero contact angle). After a suitable coordinate transformation to fix the free boundary (the contact line where liquid, air, and solid coalesce), the thin-film equation is rewritten as an abstract Cauchy problem and we obtain maximal L^p_t-regularity for the linearized evolution. Partial regularity close to the free boundary is obtained by studying the elliptic regularity of the spatial part of the linearization. This yields solutions that are non-smooth in the distance to the free boundary, in line with previous findings for source-type self-similar solutions. In a scaling-wise quasi-minimal norm for the initial data, we obtain a well-posedness and asymptotic stability result for perturbations of traveling waves.The novelty of this work lies in the usage of L^p-estimates in time, where 1 &lt;p&lt;\u221e, while the existing literature mostly deals with p = 2 at least for nonlinear mobilities. This turns out to be essential to obtain for the first time a well-posedness result in the perfect-wetting regime for all physical nonlinear slip conditions except for a strongly degenerate case at n = 3\/2 and the well-understood Greenspan-slip case n = 1. Furthermore, compared to [J. Differential Equations, 257(1):15-81, 2014] by Giacomelli, the speaker, Kn\\&#8221;upfer, and Otto, where a PDE approach yields L^2_t-estimates, well-posedness, and stability for 1.8384 ~ 3(15-\u221a21)\/17&lt;n&lt; 3(7+\u221a5)\/11 ~ 2.5189, our functional-analytic approach is significantly shorter while at the same time giving a more general result.This talk is based on joint work with Anouk C. Wisse (TU Delft): \\href{https:\/\/doi.org\/10.48550\/arXiv.2310.20400}{arXiv:2310.20400}.<\/li>\n<\/ul>\n<hr \/>\n<ul>\n<li>\u8b1b \u6f14 \u8005:\u3000Prof. Piotr Bogus\u0142aw Mucha (University of Warsaw)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000The Compressible Euler System with Nonlocal Pressure<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: In this talk, I will present a modified version of the compressible barotropic Euler system with friction, where a nonlocal, &#8220;fuzzy&#8221; pressure term replaces the traditional pressure. This nonlocal pressure is parameterized by \u03f5&gt;0\u03f5&gt;0, with the system formally converging to the classical pressure model as \u03f5\u03f5 approaches zero. The main objective is to demonstrate that this modified system reliably approximates the classical compressible Euler system. Our findings are parameter-independent, allowing us to rigorously establish the convergence of solutions to those of the classical Euler system. An additional result is a rigorous derivation of the mass equation converging to various forms of the porous media equation as friction tends to infinity. This analysis is carried out in the whole space, which requires the use of an appropriate L1L1-in-time framework.The talk is based on joint work with Raphael Danchin from Paris.<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c 14 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2024 \u5e74 11\u670822\u65e5(\u91d1) 16\u6642 \uff5e 17\u664230\u5206<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u798f\u6cc9\u3000\u9e97\u4f73\u3000\u6c0f\u3000(\u65e9\u7a32\u7530\u5927\u5b66)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Stochastic PDEs \u5165\u9580<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u00a0\u78ba\u7387\u504f\u5fae\u5206\u65b9\u7a0b\u5f0f\u8ad6\u306b\u304a\u3051\u308b\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3068\u89e3\u6790\u624b\u6cd5\u3092PDE\u7684\u306a\u898b\u65b9\u3084\u8a00\u8449\u4f7f\u3044\u306b\u5bc4\u308a\u6dfb\u3046\u5f62\u3067\u89e3\u8aac\u3092\u884c\u3046\u3002<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c 13 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2024 \u5e74 10\u670825\u65e5(\u91d1) 15\u664230\u5206 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u5ddd\u5cf6\u3000\u79c0\u4e00\u3000\u6c0f\u3000(\u4e5d\u5dde\u5927\u5b66\u30fb\u65e9\u7a32\u7530\u5927\u5b66)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Compressible viscous flows with rotational stratification effects<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u00a0 We consider the compressible viscous flows with rotational stratification<br \/>\neffects. We propose a mathematical model and study its basic properties. In<br \/>\nparticular, we derive the equations for the entropy and the energy form. Also<br \/>\nwe consider the corresponding linearized system around a constant equilibrium<br \/>\nstate, and discuss its dissipative property by the energy method in the<br \/>\nFourier space. We observe that the dissipativity of this system is characterized<br \/>\nby the function \u03b7(\u03be) := |\u03be|^4\/(1 + |\u03be|^2)^2.<\/li>\n<\/ul>\n<h2 align=\"center\">\u7b2c 12 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2024 \u5e74 10\u670811\u65e5(\u91d1) 15\u664230\u5206 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u6751\u7530\u3000\u7f8e\u5e06\u3000\u6c0f\u3000(\u9759\u5ca1\u5927\u5b66)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Navier-Stokes-Korteweg\u65b9\u7a0b\u5f0f\u306e\u8868\u9762\u5f35\u529b\u3064\u304d\u81ea\u7531\u5883\u754c\u554f\u984c\u306b\u5bfe\u3059\u308b\u7dda\u5f62\u89e3\u6790<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u00a0\u00a0 Navier-Stokes-Korteweg\u65b9\u7a0b\u5f0f\u306f,\u6c34\u3068\u6c34\u84b8\u6c17\u306e\u3088\u3046\u306b\u5358\u4e00\u6210\u5206\u3067\u6db2\u76f8\u3068\u6c17\u76f8\u306e\u4e8c\u76f8\u72b6\u614b\u3092\u76f8\u8ee2\u79fb\u3092\u4f34\u3044\u306a\u304c\u3089\u904b\u52d5\u3059\u308b\u5727\u7e2e\u6027\u6d41\u4f53\u306e\u6d41\u308c\u3092\u8868\u3059\u65b9\u7a0b\u5f0f\u3067\u3042\u308b.\u672c\u8b1b\u6f14\u3067\u306f,\u8868\u9762\u5f35\u529b\u3092\u8003\u616e\u3057\u305f\u81ea\u7531\u5883\u754c\u554f\u984c\u306b\u5bfe\u3059\u308b\u7dda\u5f62\u5316\u65b9\u7a0b\u5f0f\u3092\u534a\u7a7a\u9593\u306b\u304a\u3044\u3066\u8003\u5bdf\u3059\u308b.\u30ec\u30be\u30eb\u30d9\u30f3\u30c8\u554f\u984c\u306b\u5bfe\u3059\u308b\u89e3\u4f5c\u7528\u7d20\u306eR-\u6709\u754c\u6027\u3092\u793a\u3057,Weis\u306b\u3088\u308b\u4f5c\u7528\u7d20\u5024\u306eFourier\u639b\u3051\u7b97\u4f5c\u7528\u7d20\u5b9a\u7406\u3092\u7528\u3044\u3066,\u7dda\u5f62\u5316\u65b9\u7a0b\u5f0f\u306e\u89e3\u306e\u4e00\u610f\u5b58\u5728\u6027\u3068\u6700\u5927\u6b63\u5247\u6027\u8a55\u4fa1\u304c\u5f97\u3089\u308c\u308b\u3053\u3068\u3092\u5831\u544a\u3059\u308b.\u672c\u8b1b\u6f14\u306f,Sri Maryani\u6c0f(Jenderal Soedirman University)\u3068\u306e\u5171\u540c\u7814\u7a76\u306b\u57fa\u3065\u304f\u7d50\u679c\u3067\u3042\u308b.<\/li>\n<\/ul>\n<h2 align=\"center\">\u7b2c 11 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0\u00a02024\u5e74 7\u670812\u65e5(\u91d1) 15\u664230\u5206 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u85e4\u4e95\u3000\u5e79\u5927 \u6c0f\u3000(\u4e5d\u5dde\u5927\u5b66\u30de\u30b9\u30fb\u30d5\u30a9\u30a2\u30fb\u30a4\u30f3\u30c0\u30b9\u30c8\u30ea\u7814\u7a76\u6240)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000&#8221;Ill-posedness of the 2D stationary Navier-Stokes equations on the whole plane with the application to the time-periodic problem&#8221;<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u00a0We consider the incompressible Navier-Stokes equations on the whole plane. In contrast to the initial value problem, the solvability of the 2D stationary Navier-Stokes equations has been open. In this talk, we solve this problem negatively in the scaling critical Besov spaces framework. Moreover, we apply our method to the time-periodic problem and show the nonexistence of time-periodic solutions for some small time-periodic external forces..<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c 10 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0\u00a02024\u5e74 6\u670821\u65e5(\u91d1) 15\u664230\u5206 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928629\u6559\u5ba4(\u901a\u5e38\u3068\u6559\u5ba4\u304c\u7570\u306a\u308a\u307e\u3059)<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u6e21\u908a\u3000\u572d\u5e02 \u6c0f\u3000(\u516c\u7acb\u8acf\u8a2a\u6771\u4eac\u7406\u79d1\u5927\u5b66 \u5de5\u5b66\u90e8 \u5171\u901a\u30fb\u30de\u30cd\u30b8\u30e1\u30f3\u30c8\u6559\u80b2\u30bb\u30f3\u30bf\u30fc)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000&#8221;On the incompressible limit for the compressible Navier-Stokes-Korteweg system &#8220;<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u00a0 We consider the barotropic compressible Navier\u2013Stokes\u2013Korteweg equations in the whole space. In the two-dimensional case, we aim to construct the global large solutions to the system in the critical Besov spaces framework with large initial velocity and almost constant initial density provided that the pressure admits a stability condition and the volume viscosity is sufficiently large. As a by-product of the global existence result, we also obtain the incompressible limit result. We also make a comment on the higher dimensional case as well. The strategy of the proof is strongly inspired from Danchin and Mucha (2017, Adv. Math.).<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c 9 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0\u00a02024\u5e74 5\u670824\u65e5(\u91d1) 15\u664230\u5206 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u5c71\u672c\u3000\u7acb\u898f \u6c0f\u3000(\u65e9\u7a32\u7530\u5927\u5b66\u5927\u5b66\u9662\u57fa\u5e79\u7406\u5de5\u5b66\u7814\u7a76\u79d1)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000&#8221;<span style=\"font-size: small\">Nonhomogeneous boundary value problem for the steady Navier-Stokes<br \/>\nequations in two-dimensional multiply-connected bounded domains<\/span>&#8220;<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: <span style=\"font-size: small\">We consider the nonhomogeneous boundary value problem for the steady Navier-Stokes equations under the slip boundary conditions in a two-dimensional bounded domain with multiple boundary components. By the incompressibility condition of the fluid, the total flux of the given boundary datum through the boundary must be zero. We prove that this problem has a solution if the friction coefficient is sufficiently large\u00a0 compared with the kinematic viscosity constant and the curvature of the boundary. No additional assumption (other than the necessary requirement\u00a0 of zero total flux through the boundary) is imposed on the boundary data. We also show that such an assumption on the friction coefficient is redundant for the existence of a solution in the case when the fluxes across each connected component of the boundary are sufficiently small,\u00a0 or the domain and the given data satisfy certain symmetry conditions.\u00a0 This talk is based on the joint work with Prof. Giovanni P. Galdi\u00a0 (University of\u00a0Pittsburgh).<\/span><\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c 8 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0\u00a02024\u5e74 5\u670810\u65e5(\u91d1) 16\u6642 \uff5e 17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u53e4\u5ddd \u8ce2 \u6c0f\u3000(\u7406\u5316\u5b66\u7814\u7a76\u6240)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000\u300c\u6ffe\u904e\u73fe\u8c61\u3092\u8868\u3059\u504f\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u9069\u5207\u6027\u3068\u305d\u306e\u6319\u52d5\u306b\u95a2\u3057\u3066\u300d<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: \u672c\u516c\u6f14\u3067\u306f\u6c34\u69fd(\u9818\u57df)\u6d41\u4f53\u5185\u306e\u7269\u8cea(\u5fae\u7c92\u5b50)\u3092\u5883\u754c\u306b\u8a2d\u7f6e\u3055\u308c\u305f\u6ffe\u904e\u88c5\u7f6e\u306b\u3088\u3063\u3066\u6ffe\u904e\u3059\u308b\u3068\u3044\u3063\u305f\u7269\u7406\u904e\u7a0b\u3092\u8868\u73fe\u3059\u308b\u305f\u3081\u306e\u653e\u7269\u578b\u504f\u5fae\u5206\u65b9\u7a0b\u5f0f\u306b\u3088\u308b\u30e2\u30c7\u30eb\u306e\u9069\u5207\u6027\u3068\u3044\u304f\u3064\u304b\u306e\u6570\u5024\u8a08\u7b97\u7d50\u679c\u3092\u7d39\u4ecb\u3059\u308b.\u3053\u306e\u30e2\u30c7\u30eb\u3067\u306f,\u7269\u8cea\u306e\u62e1\u6563\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3057\u3066\u901a\u5e38\u306e\u30c7\u30a3\u30ea\u30af\u30ec,\u30ce\u30a4\u30de\u30f3,\u30ed\u30d3\u30f3\u5883\u754c\u6761\u4ef6\u3068\u306f\u7570\u306a\u3063\u305f\u5883\u754c\u6761\u4ef6\u3092\u63a1\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081,\u305d\u306e\u7406\u7531\u306b\u3064\u3044\u3066\u306e\u8aac\u660e\u3082\u884c\u3046.\u52a0\u85e4-\u7530\u8fba\u3089\u306b\u3088\u308b\u767a\u5c55\u65b9\u7a0b\u5f0f\u8ad6\u306b\u3088\u308b\u7dda\u578b\u65b9\u7a0b\u5f0f\u306e\u89e3\u3092\u69cb\u6210\u3057\u305f\u5f8c,\u4e0d\u52d5\u70b9\u5b9a\u7406\u3092\u7528\u3044\u3066\u975e\u7dda\u5f62\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308b\u89e3\u306e\u69cb\u6210\u3092\u884c\u3046.\u6570\u5024\u8a08\u7b97\u7d50\u679c\u3067\u306f\u3053\u306e\u30e2\u30c7\u30eb\u306e\u6319\u52d5\u3092\u53ef\u8996\u5316\u3057,\u30e2\u30c7\u30eb\u304c\u300c\u6ffe\u904e\u73fe\u8c61\u300d\u3068\u3057\u3066\u671f\u5f85\u3055\u308c\u308b\u6319\u52d5\u3092\u793a\u3059\u3053\u3068\u3092\u660e\u3089\u304b\u306b\u3059\u308b.\u3053\u306e\u516c\u6f14\u306f\u5317\u7551\u88d5\u4e4b\u6559\u6388(\u5343\u8449\u5927\u5b66)\u3068\u306e\u5171\u540c\u7814\u7a76\u306b\u3088\u308b.<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c 7 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0\u00a0\u00a0 2024\u5e74 4\u670826\u65e5(\u91d1) 15\u664230\u5206\uff5e17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u9f4b\u85e4 \u5e73\u548c \u6c0f\u3000(\u96fb\u6c17\u901a\u4fe1\u5927\u5b66\u60c5\u5831\u7406\u5de5\u5b66\u7814\u7a76\u79d1)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000\u300c\u975e\u5727\u7e2e\u6027\u7c98\u6027\u6d41\u4f53\u306e\u4e8c\u76f8\u554f\u984c\u306e\u6642\u9593\u5927\u57df\u53ef\u89e3\u6027\u300d<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: \u672c\u8b1b\u6f14\u3067\u306f\u3001\u5bc6\u5ea6\u304c\u4e00\u69d8\u3067\u306a\u3044\u975e\u5727\u7e2e\u6027\u7c98\u6027\u6d41\u4f53\u306e\u4e8c\u76f8\u554f\u984c\u306b\u3064\u3044\u3066\u8003\u5bdf\u3059\u308b\u3002\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u5ea7\u6a19\u5909\u63db\u3092\u7528\u3044\u3066\u521d\u671f\u9818\u57df\u4e0a\u306e\u554f\u984c\u306b\u66f8\u304d\u76f4\u3059\u3053\u3068\u3067\u3001\u4e0a\u534a\u7a7a\u9593\u3068\u4e0b\u534a\u7a7a\u9593\u4e0a\u306e\u4e8c\u76f8\u30ca\u30f4\u30a3\u30a8\u30fb\u30b9\u30c8\u30fc\u30af\u30b9\u65b9\u7a0b\u5f0f\u306b\u5e30\u7740\u3055\u308c\u308b\u3002\u6642\u9593\u91cd\u307f\u4ed8\u304d\u30ce\u30eb\u30e0\u3092\u9069\u5207\u306b\u5c0e\u5165\u3057\u3066\u4e0d\u52d5\u70b9\u5b9a\u7406\u306e\u57fa\u76e4\u3068\u306a\u308b\u95a2\u6570\u7a7a\u9593\u3092\u8a2d\u5b9a\u3057\u3001\u5c0f\u3055\u306a\u521d\u671f\u5024\u306b\u5bfe\u3059\u308b\u6642\u9593\u5927\u57df\u89e3\u306e\u4e00\u610f\u5b58\u5728\u3092\u8a3c\u660e\u3059\u308b\u3002<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c6\u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0\u00a0\u00a0 2024\u5e74 4\u670812\u65e5(\u91d1) 15\u664230\u5206\uff5e17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u98ef\u7530 \u7965\u6a39 \u6c0f\u3000(\u65e9\u7a32\u7530\u5927\u5b66\u5927\u5b66\u9662\u57fa\u5e79\u7406\u5de5\u5b66\u7814\u7a76\u79d1)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000&#8221;Uniqueness\u00a0of weak solutions to the primitive equations in some anisotropic spaces&#8221;<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: We consider the three-dimensional primitive equations for ocean and atmosphere. The seminal work of Cao-Titi (2007) proved the global well-posedness of this system for arbitrarily large initial data in $H^1$, in contrast to the three-dimensional incompressible Navier-Stokes equations. On the other hand, the uniqueness of weak solutions to the primitive equations is still open. In this talk, we give a new class in which the conditional uniqueness holds. In order to control the regularity of the vertical component of the velocity, the proof of our result is basically relied on Littlewood-Paley theory argument. Therefore, our class is based on regularity of Besov spaces. Such a technique of Littlewood-Paley theory also enables us to obtain a slightly larger class which guarantees the energy equality. This talk is mainly based on a joint work with Dr. Tim Binz (TU Darmstadt).<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c5\u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0\u00a0\u00a0 2024\u5e74 3\u6708 1 \u65e5(\u91d1) 15\u664230\u5206\uff5e17\u6642<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928629\u6559\u5ba4(\u901a\u5e38\u3068\u6559\u5ba4\u304c\u7570\u306a\u308a\u307e\u3059)<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u5927\u77f3 \u5065\u592a \u6c0f\u3000(\u65e9\u7a32\u7530\u5927\u5b66\u57fa\u5e79\u7406\u5de5\u5b66\u90e8)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000&#8221;On the global well-posedness and decay of a free boundary problem of<br aria-hidden=\"true\" \/>the Navier-Stokes equation in the two-dimensional half space&#8221;<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: We establish the global well-posedness and some decay properties for a free boundary problem of the incompressible Navier-Stokes equations in the two-dimensional half space. Since the solution of the free boundary problem decays as fast as the heat semigroup, it decays slowly for low dimensions and this makes it difficult to estimate the nonlinear terms on the boundary. We overcome this difficulty by obtaining some decay from the derivative arising from the trace estimate in the half space.<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c4\u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0\u00a0\u00a0 2024\u5e74 2\u6708 16 \u65e5(\u91d1) 15\u6642\uff5e16\u6642\u534a<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u6a9c\u57a3 \u5145\u6717 \u6c0f\u3000(\u795e\u6238\u5927\u5b66\u5927\u5b66\u9662\u7406\u5b66\u7814\u7a76\u79d1\u6570\u5b66\u5c02\u653b)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000&#8221;\u5186\u67f1\u5916\u90e8\u306b\u304a\u3051\u308b\u8ef8\u5bfe\u79f0 Navier-Stokes \u5b9a\u5e38\u6d41\u306e\u5b58\u5728\u5b9a\u7406&#8221;<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: \u7121\u9650\u306b\u9577\u3044\u5186\u67f1\u306e\u5916\u90e8\u306b\u304a\u3051\u308b\u4e09\u6b21\u5143\u5b9a\u5e38\u8ef8\u5bfe\u79f0 Navier-Stokes \u65b9\u7a0b\u5f0f\u3092\u8003\u5bdf\u3059\u308b.\u81ea\u660e\u89e3\u306e\u5468\u308a\u3067\u7dda\u5f62\u5316\u3057\u305f\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066,\u4e8c\u6b21\u5143\u5916\u90e8\u9818\u57df\u306b\u304a\u3051\u308b Stokes \u306e\u9006\u7406\u306e\u985e\u4f3c\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b.\u307e\u305f,\u8ef8\u5bfe\u79f0\u6027\u306e\u305f\u3081,\u4e8c\u6b21\u5143\u5916\u90e8\u554f\u984c\u3092\u8003\u3048\u308b\u969b\u306b\u306f\u6709\u7528\u3067\u3042\u3063\u305f\u56de\u8ee2\u6d41\u306b\u3088\u308b\u30b9\u30ab\u30e9\u30fc\u306e\u8f38\u9001(\u307e\u305f\u306f\u5c40\u5728\u5316)\u306f\u8d77\u3053\u3089\u306a\u3044.\u672c\u8b1b\u6f14\u3067\u306f,\u6c34\u5e73\u65b9\u5411\u306b\u306f\u6e1b\u8870\u3059\u308b\u304c\u5782\u76f4\u65b9\u5411\u306b\u306f\u6e1b\u8870\u3057\u306a\u3044\u8ef8\u5bfe\u79f0\u30d9\u30af\u30c8\u30eb\u5834\u306e\u30af\u30e9\u30b9\u306b\u304a\u3044\u3066,\u5438\u8fbc\u5883\u754c\u6761\u4ef6\u4e0b\u3067\u306f,\u4e0e\u3048\u3089\u308c\u305f\u5916\u529b\u306b\u5bfe\u3057\u3066\u65b9\u7a0b\u5f0f\u306e\u89e3\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u5831\u544a\u3059\u308b.<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c3\u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0\u00a0\u00a0 2024\u5e74 1\u6708 26 \u65e5(\u91d1) 16\u6642\uff5e17\u6642\u534a<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u51fa\u53e3\u3000\u76f4\u4eba\u6c0f(\u6771\u4eac\u5de5\u696d\u5927\u5b66\u3000\u7406\u5b66\u9662\u6570\u5b66\u7cfb )<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000&#8221;On the stability of stationary compressible Navier-Stokes flows&#8221;<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: In this talk, we consider the stability of the stationary solution of the compressible Navier-Stokes equation in the 3D whole space with an external force which decays at spatial infinity. The stationary solution is known to be asymptotically stable if the external force is small enough. In our work, the time decay rates of the Lp norms of the perturbations are derived under the smallness assumption on the initial perturbations. It is also showed that the decay rates are optimal. The proof is based on the combination of the spectral analysis and energy method in Besov spaces. The time-space integral estimates for the linearized semigroup around the constant state in some Besov spaces play a crucial role in the proof.<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c2\u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0\u00a0\u00a0 2024\u5e74 1\u6708 12 \u65e5(\u91d1) 15\u6642\uff5e16\u6642\u534a<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000Prof. Xin Zhang (Tongji University)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000&#8221;Unique solvability of some weak transmission problem and its application&#8221;<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: Helmholtz-Wely (HW) decomposition (also known as Helmholtz-Hodge decomposition) of the vectors is one fundamental theory in fluid dynamics, which can be also applied to other research fields such as astrophysics, computer graphics and so on. In this talk, we mainly discuss the unique solvability of some weak transmission (WT) problem in the domains with flat boundaries. By solving such WT problem, we can establish the HW decomposition associated to the L_p theory of the two-phase Navier-Stokes problem. Moreover, the domain under our consideration has flat boundaries, and thus the main tool in our analysis is the elementary Fourier analysis.<br aria-hidden=\"true\" \/><br aria-hidden=\"true\" \/>This talk is based on the joint work with Hirokazu Saito (The University of Electro-Communications) and Wendu Zhou (Tongji University).<\/li>\n<\/ul>\n<hr \/>\n<h2 align=\"center\">\u7b2c1\u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0\u00a0\u00a0 2023\u5e74 12\u6708 15 \u65e5(\u91d1) 15\u6642\uff5e16\u6642\u534a<\/li>\n<li>\u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u67f4\u7530\u3000\u826f\u5f18\u3000\u6c0f(\u65e9\u7a32\u7530\u5927\u5b66\u3000\u540d\u8a89\u6559\u6388)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000&#8221;Generalized semigroup theory and free boundary problems for the Navier-Stokes equations&#8221;<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8: First, I want to talk about generalized semigroup theory, which is an extension of the usual semigroup theory to the evolution equations with non-homogeneous boundary conditions. If 1 &lt; p &lt; \u221e, this theory is constructed by R-bounded solution operators to the generalized resolvent problem, and if p=1, it is constructed by interpolating and using the dual argument of the bounded solution operators in the Sobolev spaces to the generalized resolvent problem. Former one is an extension of Dore-Venni and Giga-Sohr theory for Lp maximal regularity theorem of continuous analytic semigroups and the later one is an extension of Da Proato-Grisvard and Danchin-Hieber-Mucha-Tolksdorf theory for L1 maximal regularity theorem of continuous analytic semigroup. Second, I would like to talk about some applications of generalized semigroup theory to the free boundary problem for the Navier-Stokes equations (FBP). The results concerning the local and global well-posedness for several FBPs have been obtained together with Y. Enomoto, T. Kubo, H. Saito, K. Watanabe and X. Zhang.<\/li>\n<\/ul>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"<p>\u7b2c 24 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc \u65e5\u3000\u00a0 \u6642:\u00a0 2025 \u5e74 12 \u6708 12\u65e5(\u91d1)\u00a0 14\u664215\u5206 \uff5e 15\u664215\u5206 \u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e81\u53f7\u9928633\u6559\u5ba4 \u8b1b \u6f14 \u8005:\u3000Daniele Barbera  &hellip; <a href=\"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/seminar-fluidmath\/seminar-fluidmath-info-old\/\">\u7d9a\u304d\u3092\u8aad\u3080 <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":51,"featured_media":0,"parent":175,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-204","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/pages\/204","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/users\/51"}],"replies":[{"embeddable":true,"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/comments?post=204"}],"version-history":[{"count":26,"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/pages\/204\/revisions"}],"predecessor-version":[{"id":370,"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/pages\/204\/revisions\/370"}],"up":[{"embeddable":true,"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/pages\/175"}],"wp:attachment":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/media?parent=204"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}