{"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":"2026-06-29T15:37:48","modified_gmt":"2026-06-29T06:37:48","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 28 \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 7 \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\u68b6\u539f \u76f4\u4eba \u6c0f(\u5c90\u961c\u5927\u5b66 \u5de5\u5b66\u90e8 \u96fb\u6c17\u96fb\u5b50\u30fb\u60c5\u5831\u5de5\u5b66\u79d1 \u5fdc\u7528\u7269\u7406\u30b3\u30fc\u30b9)<\/li>\n<li>\u8b1b\u6f14\u984c\u76ee:\u3000Solutions to a One-Dimensional Combustion-Type Free Boundary Problem via Maximal Regularity<\/li>\n<li>\u8b1b\u6f14\u8981\u65e8:\u3000We study a one-dimensional free boundary problem arising in combustion theory, where the motion of the interface is governed by a prescribed Neumann boundary flux and a zero Dirichlet boundary condition.We treat both the half-line case and the bounded interval case.For both settings, we employ maximal $L^p$-$L^q$ regularity as our main analytical tool. In the half-line case, the solutions need not decay at infinity, even though the spatial derivatives belong to $L^q(\\mathbb{R}_+)$. To handle the evolution law of the free boundary, we introduce a derivative formulation that avoids second-order boundary traces. By combining maximal $L^p$-$L^q$ regularity and Schauder estimates, we establish local-in-time existence, uniqueness, and regularity of solutions, as well as the evolution law of the free boundary. This is a joint work with Prof. Furukawa (Toyama) and Prof. Giga (Tokyo).<\/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 28 \u56de\u3000\u6d41\u4f53\u6570\u5b66\u30bb\u30df\u30ca\u30fc \u65e5\u3000\u00a0 \u6642:\u00a0 2026 \u5e74 7 \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\u68b6\u539f \u76f4\u4eba \u6c0f(\u5c90\u961c\u5927\u5b66 \u5de5\u5b66\u90e8 \u96fb\u6c17 &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":99,"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/pages\/175\/revisions"}],"predecessor-version":[{"id":398,"href":"https:\/\/www-p.sci.ocha.ac.jp\/math-kubo-lab\/wp-json\/wp\/v2\/pages\/175\/revisions\/398"}],"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}]}}