{"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":"2026-03-25T07:54:51","modified_gmt":"2026-03-24T22:54:51","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 25 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc<\/h2>\n<ul>\n<li>\u65e5\u3000\u00a0 \u6642:\u00a0 2026 \u5e74 4 \u6708 13\u65e5(\u6708) 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 629\u6559\u5ba4<\/li>\n<li>\u8b1b \u6f14 \u8005:\u3000\u671d\u898b\u3000\u967d\u4ecb \u6c0f(\u540d\u53e4\u5c4b\u5927\u5b66\u5927\u5b66\u9662\u591a\u5143\u6570\u7406\u79d1\u5b66\u7814\u7a76\u79d1)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Regularity properties of a generalized Oseen evolution operator in exterior domains, with applications to the Navier-Stokes initial value problem<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u3000Consider a generalized Oseen evolution operator in 3D exterior domains, that is generated by a non-autonomous linearized system arising from time-dependent rigid motions. This was found by Hansel and Rhandi, and then the theory was developed by Hishida, however, desired regularity properties such as estimate of the temporal derivative as well as the H\u00f6lder estimate have remained open. In this talk, we show those properties together with weighted smoothing estimates of the evolution operator. The results are then applied to the Navier-Stokes initial value problem, so that a new theorem on existence of a unique strong $L^q$-solution locally in time is proved. If time permits, we will also briefly discuss weighted decay estimates of the evolution operator. This talk is based on a joint work with Professor Toshiaki Hishida (Nagoya University).<\/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 25 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc \u65e5\u3000\u00a0 \u6642:\u00a0 2026 \u5e74 4 \u6708 13\u65e5(\u6708) 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 629\u6559\u5ba4 \u8b1b \u6f14 \u8005:\u3000\u671d\u898b\u3000\u967d\u4ecb \u6c0f(\u540d\u53e4\u5c4b\u5927\u5b66\u5927\u5b66\u9662\u591a\u5143\u6570 &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":""},"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":92,"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/pages\/175\/revisions"}],"predecessor-version":[{"id":381,"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/pages\/175\/revisions\/381"}],"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}]}}