{"id":121,"date":"2015-02-21T10:34:52","date_gmt":"2015-02-21T18:34:52","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=121"},"modified":"2015-02-21T10:34:52","modified_gmt":"2015-02-21T18:34:52","slug":"tristan-buckmaster-february-32rd","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2015\/02\/21\/tristan-buckmaster-february-32rd\/","title":{"rendered":"Tristan Buckmaster (February 32rd)"},"content":{"rendered":"<p>\t\t\t\tSpeaker: Tristan Buckmaster (NYU)<br \/>\nTitle: Onsager&#8217;s Conjecture<br \/>\nAbstract: In 1949, Lars Onsager in his famous note on statistical hydrodynamics conjectured that weak solutions to the Euler equation belonging to H\u00f6lder spaces with H\u00f6lder exponent greater than 1\/3 conserve energy; conversely, he conjectured the existence of solutions belonging to any H\u00f6lder space with exponent less than 1\/3 which dissipate energy.<\/p>\n<p>The first part of this conjecture has since been confirmed (cf. Eyink 1994, Constantin, E and Titi 1994). During this talk we will discuss recent work by Camillo De Lellis, L\u00e1szl\u00f3 Sz\u00e9kelyhidi Jr., Philip Isett and myself related to resolving the second component of Onsager&#8217;s conjecture. In particular, we will discuss the construction of weak non-conservative solutions to the Euler equations whose H\u00f6lder $1\/3-\\epsilon$ norm is Lebesgue integrable in time.\t\t<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker: Tristan Buckmaster (NYU) Title: Onsager&#8217;s Conjecture Abstract: In 1949, Lars Onsager in his famous note on statistical hydrodynamics conjectured that weak solutions to the Euler equation belonging to H\u00f6lder spaces with H\u00f6lder exponent greater than 1\/3 conserve energy; conversely, he conjectured the existence of solutions belonging to any H\u00f6lder space with exponent less than [&hellip;]<\/p>\n","protected":false},"author":105,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-121","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/121","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/users\/105"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=121"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/121\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=121"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=121"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}