{"id":175,"date":"2023-11-07T13:16:55","date_gmt":"2023-11-07T04:16:55","guid":{"rendered":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/?page_id=175"},"modified":"2026-08-19T11:05:48","modified_gmt":"2026-08-19T02:05:48","slug":"seminar-fluidmath","status":"publish","type":"page","link":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/seminar-fluidmath\/","title":{"rendered":"\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc"},"content":{"rendered":"<h2 align=\"center\">\u7b2c 29 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2026 \u5e74 10 \u6708 8\u65e5(\u6728) 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\u90e8 1\u53f7\u9928 \u3000\u672a\u5b9a<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u83f1\u7530 \u4fca\u660e \u6c0f(\u540d\u53e4\u5c4b\u5927\u5b66\u3000\u591a\u5143\u6570\u7406\u79d1\u5b66\u7814\u7a76\u79d1)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Large time decay of the fluid-structure semigroup subject to the \u00a0Navier slip-with-friction boundary condition<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u3000Consider the motion of a rigid body moving into a viscous incompressible fluid that fills the whole space in 3D. The fluid motion obeys the Navier-Stokes system, while the motion of the body is governed by the Newton law. Both motions are affected by each other at the fluid-solid interface through the Navier slip-with-friction boundary condition, which is known as a substitution for the no-slip one to resolve the no-collision paradox.<br \/>\nWe adopt a monolithic approach and carry out the spectral analysis to deduce the large time behavior of the fluid-structure semigroup, where the shape of the body is allowed to be arbitrary. What is remarkable is that the decay structure is somewhat different under the full slip condition when the body is axially symmetric. If, in particular, the body is a ball, we then apply the linear theory developed above to the nonlinear initial value problem to show the stability of the rest state. It is, furthermore, asymptotically stable except for the full slip case. This talk is based on a joint work with Bum Ja Jin (Mokpo, South Korea).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<p>\u3054\u8208\u5473\u304c\u3042\u308b\u65b9\u306f\u4e45\u4fdd\u307e\u3067\u3054\u9023\u7d61\u4e0b\u3055\u3044.<\/p>\n<p>\u307e\u305f,\u00a0 \u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc\u306f\u4eca\u5f8c\u4e0d\u5b9a\u671f\u3067\u958b\u50ac\u3059\u308b\u4e88\u5b9a\u3067\u3059.<\/p>\n<p>\u8b1b\u6f14\u8005\u304c\u6c7a\u307e\u308a\u307e\u3057\u305f\u3089,\u3053\u3053\u306b\u63b2\u793a\u3057\u307e\u3059.<\/p>\n<p>\u904e\u53bb\u306e\u30bb\u30df\u30ca\u30fc\u306e\u60c5\u5831\u306f\u3000<a href=\"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/seminar-fluidmath-info-old\/\">\u3053\u3061\u3089<\/a>\u3000\u3092\u3054\u89a7\u304f\u3060\u3055\u3044.<\/p>\n<p>\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc\u3000\u4e16\u8a71\u4eba<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li>\u9f4b\u85e4\u5e73\u548c(\u96fb\u6c17\u901a\u4fe1\u5927\u5b66)<\/li>\n<li>\u6751\u7530\u7f8e\u5e06(\u9759\u5ca1\u5927\u5b66)<\/li>\n<li>\u6e21\u908a\u572d\u5e02(\u516c\u7acb\u8acf\u8a2a\u6771\u4eac\u7406\u79d1\u5927\u5b66)<\/li>\n<li>\u4e45\u4fdd\u9686\u5fb9(\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u7b2c 29 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc \u65e5\u3000\u00a0 \u6642:\u00a0 2026 \u5e74 10 \u6708 8\u65e5(\u6728) 15\u664230\u5206 \uff5e 17\u6642 \u5834\u6240\u30fb\u6559\u5ba4:\u3000\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66\u7406\u5b66\u90e8 1\u53f7\u9928 \u3000\u672a\u5b9a \u8b1b \u6f14 \u8005:\u3000\u83f1\u7530 \u4fca\u660e \u6c0f(\u540d\u53e4\u5c4b\u5927\u5b66\u3000\u591a\u5143\u6570\u7406\u79d1\u5b66\u7814 &hellip; <a href=\"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/seminar-fluidmath\/\">\u7d9a\u304d\u3092\u8aad\u3080 <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":51,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","vk-ltc-link":"","vk-ltc-target":"0"},"class_list":["post-175","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/pages\/175","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=175"}],"version-history":[{"count":101,"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/pages\/175\/revisions"}],"predecessor-version":[{"id":402,"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/pages\/175\/revisions\/402"}],"wp:attachment":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/media?parent=175"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}