{"id":4051,"date":"2026-03-17T15:17:54","date_gmt":"2026-03-17T22:17:54","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&#038;p=4051"},"modified":"2026-03-17T15:17:54","modified_gmt":"2026-03-17T22:17:54","slug":"the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/","title":{"rendered":"The Euler Equations in Function Spaces of Generalized Smoothness (Zachary Radke, OSU)"},"content":{"rendered":"<p><span data-olk-copy-source=\"MessageBody\"><strong>Abstract:<\/strong> In this talk, we will describe a well\/ill-posedness result for the 2D incompressible Euler equations. We investigate solutions in a setting logarithmically smoother than previously done, in a hope to identify the key dynamics leading to a breakdown of regularity in 2D fluid flow. When order of the logarithmic derivative is sufficiently large one obtains global well posedness, however, below this threshold, one can construct initial data for which the corresponding solution blows up instantaneously\u00a0in the logarithmic Sobolev norm. In this sense, the result is sharp at this logarithmic scale, but by no means is the story completed by it so we will discuss ways to dive deeper.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Abstract: In this talk, we will describe a well\/ill-posedness result for the 2D incompressible Euler equations. We investigate solutions in a setting logarithmically smoother than previously done, in a hope [&hellip;]<\/p>\n","protected":false},"author":262,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","_tec_slr_enabled":"","_tec_slr_layout":""},"tags":[],"tribe_events_cat":[15],"class_list":["post-4051","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-applied-math-seminar","cat_applied-math-seminar"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>The Euler Equations in Function Spaces of Generalized Smoothness (Zachary Radke, OSU) - Claremont Center for the Mathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Euler Equations in Function Spaces of Generalized Smoothness (Zachary Radke, OSU) - Claremont Center for the Mathematical Sciences\" \/>\n<meta property=\"og:description\" content=\"Abstract: In this talk, we will describe a well\/ill-posedness result for the 2D incompressible Euler equations. We investigate solutions in a setting logarithmically smoother than previously done, in a hope [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/\" \/>\n<meta property=\"og:site_name\" content=\"Claremont Center for the Mathematical Sciences\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/\",\"url\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/\",\"name\":\"The Euler Equations in Function Spaces of Generalized Smoothness (Zachary Radke, OSU) - Claremont Center for the Mathematical Sciences\",\"isPartOf\":{\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/#website\"},\"datePublished\":\"2026-03-17T22:17:54+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/colleges.claremont.edu\/ccms\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Events\",\"item\":\"https:\/\/colleges.claremont.edu\/ccms\/events\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"The Euler Equations in Function Spaces of Generalized Smoothness (Zachary Radke, OSU)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/#website\",\"url\":\"https:\/\/colleges.claremont.edu\/ccms\/\",\"name\":\"Claremont Center for the Mathematical Sciences\",\"description\":\"Proudly Serving the Math Community at the Claremont Colleges Since 2007\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/colleges.claremont.edu\/ccms\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"The Euler Equations in Function Spaces of Generalized Smoothness (Zachary Radke, OSU) - Claremont Center for the Mathematical Sciences","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/","og_locale":"en_US","og_type":"article","og_title":"The Euler Equations in Function Spaces of Generalized Smoothness (Zachary Radke, OSU) - Claremont Center for the Mathematical Sciences","og_description":"Abstract: In this talk, we will describe a well\/ill-posedness result for the 2D incompressible Euler equations. We investigate solutions in a setting logarithmically smoother than previously done, in a hope [&hellip;]","og_url":"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/","og_site_name":"Claremont Center for the Mathematical Sciences","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/","url":"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/","name":"The Euler Equations in Function Spaces of Generalized Smoothness (Zachary Radke, OSU) - Claremont Center for the Mathematical Sciences","isPartOf":{"@id":"https:\/\/colleges.claremont.edu\/ccms\/#website"},"datePublished":"2026-03-17T22:17:54+00:00","breadcrumb":{"@id":"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/colleges.claremont.edu\/ccms\/event\/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/colleges.claremont.edu\/ccms\/"},{"@type":"ListItem","position":2,"name":"Events","item":"https:\/\/colleges.claremont.edu\/ccms\/events\/"},{"@type":"ListItem","position":3,"name":"The Euler Equations in Function Spaces of Generalized Smoothness (Zachary Radke, OSU)"}]},{"@type":"WebSite","@id":"https:\/\/colleges.claremont.edu\/ccms\/#website","url":"https:\/\/colleges.claremont.edu\/ccms\/","name":"Claremont Center for the Mathematical Sciences","description":"Proudly Serving the Math Community at the Claremont Colleges Since 2007","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/colleges.claremont.edu\/ccms\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"ticketed":false,"_links":{"self":[{"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/tribe_events\/4051","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/tribe_events"}],"about":[{"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/types\/tribe_events"}],"author":[{"embeddable":true,"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/users\/262"}],"version-history":[{"count":1,"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/tribe_events\/4051\/revisions"}],"predecessor-version":[{"id":4052,"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/tribe_events\/4051\/revisions\/4052"}],"wp:attachment":[{"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/media?parent=4051"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/tags?post=4051"},{"taxonomy":"tribe_events_cat","embeddable":true,"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/tribe_events_cat?post=4051"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}