{"id":8378,"date":"2023-03-06T18:42:18","date_gmt":"2023-03-06T17:42:18","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/on-the-infinite-dimension-limit-of-invariant-measures-and-solutions-of-zeitlins-2d-euler-equations-milo-viviani-sns\/"},"modified":"2023-03-07T09:41:05","modified_gmt":"2023-03-07T08:41:05","slug":"on-the-infinite-dimension-limit-of-invariant-measures-and-solutions-of-zeitlins-2d-euler-equations-milo-viviani-sns","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/on-the-infinite-dimension-limit-of-invariant-measures-and-solutions-of-zeitlins-2d-euler-equations-milo-viviani-sns\/","title":{"rendered":"On the infinite dimension limit of invariant measures and solutions of Zeitlin\u2019s 2D Euler equations &#8211; Milo Viviani (SNS)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>SNS &#8211; Palazzo della Carovana.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>In this talk we consider a finite dimensional approximation for the 2D Euler equations on the sphere, proposed by V. Zeitlin, and show their convergence towards a solution of the Euler equations with marginals distributed as the enstrophy measure. The method relies on nontrivial computations on the structure constants of the Poisson algebra of functions on $S^2$, that appear to be new. Finally, we discuss the problem of extending our results to Gibbsian measures associated with higher Casimirs, via Zeitlin\u2019s model.<\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/166\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk we consider a finite dimensional approximation for the 2D Euler equations on the sphere, proposed by V. Zeitlin, and show their convergence towards a solution of the Euler equations with marginals distributed as the enstrophy measure.&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/on-the-infinite-dimension-limit-of-invariant-measures-and-solutions-of-zeitlins-2d-euler-equations-milo-viviani-sns\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-8378","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1678368600,"unipievents_enddate":1678372200,"unipievents_place":"SNS - Palazzo della Carovana.","unipievents_externalid":166,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8378","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":2,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8378\/revisions"}],"predecessor-version":[{"id":8386,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8378\/revisions\/8386"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=8378"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=8378"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=8378"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}