{"id":8797,"date":"2023-04-24T09:57:27","date_gmt":"2023-04-24T07:57:27","guid":{"rendered":"https:\/\/www.dm.unipi.it\/?post_type=unipievents&#038;p=8797"},"modified":"2023-04-24T09:57:30","modified_gmt":"2023-04-24T07:57:30","slug":"no-blow-up-by-nonlinear-ito-noise-for-euler-equations","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/no-blow-up-by-nonlinear-ito-noise-for-euler-equations\/","title":{"rendered":"No blow-up by nonlinear Ito noise for Euler equations &ndash; Marco Bagnara (Scuola Normale Superiore)"},"content":{"rendered":"\n<p>We consider the 2D and 3D stochastic Euler equations. It is well-known that (under suitable assumptions on the noise) regular solutions exist locally in time. We show, by means of the Lyapunov function method and a Galerkin approximation, that the choice of a suitable non-linear multiplicative Ito noise provides a regularizing effect. Namely, we establish that with full probability the regular solutions are global in time.<\/p>\n\n\n\n<p>The presentation is based on a joint work with Mario Maurelli and Fanhui Xu.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We consider the 2D and 3D stochastic Euler equations. It is well-known that (under suitable assumptions on the noise) regular&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/no-blow-up-by-nonlinear-ito-noise-for-euler-equations\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":189,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-8797","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1683036000,"unipievents_enddate":1683039600,"unipievents_place":"Sala Seminari","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8797","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\/189"}],"version-history":[{"count":2,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8797\/revisions"}],"predecessor-version":[{"id":8799,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8797\/revisions\/8799"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=8797"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=8797"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=8797"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}