{"id":5657,"date":"2022-06-23T10:55:50","date_gmt":"2022-06-23T08:55:50","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/non-uniqueness-of-leray-solutions-of-the-forced-navier-stokes-equations-elia-brue-institute-for-advanced-study-princeton\/"},"modified":"2022-06-23T10:55:50","modified_gmt":"2022-06-23T08:55:50","slug":"non-uniqueness-of-leray-solutions-of-the-forced-navier-stokes-equations-elia-brue-institute-for-advanced-study-princeton","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/non-uniqueness-of-leray-solutions-of-the-forced-navier-stokes-equations-elia-brue-institute-for-advanced-study-princeton\/","title":{"rendered":"Non-uniqueness of Leray solutions of the forced Navier-Stokes equations &#8211; Elia Bru\u00e8 (Institute for Advanced Study (Princeton))"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Dipartimento di Matematica, Aula Magna.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<div><span><span style=\"color:#000000\">In his seminal work, Leray demonstrated the existence of global weak solutions, with nonincreasing energy, to the Navier-Stokes equations in three dimensions. In this talk, we exhibit two distinct Leray solutions with zero initial velocity and identical body force.&nbsp;<\/span><span style=\"color:#000000\">&nbsp;Building on a recent work of Vishik, we construct a linear unstable self-similar solution to the 3D Navier-Stokes with force. We employ the linear instability of the latter to build the second solution, which is&nbsp;<\/span><span style=\"color:#000000\">a trajectory on the unstable manifold, in accordance with the predictions of Jia and \u0160ver\u00e1k.<\/span><\/span><\/div>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/100\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In his seminal work, Leray demonstrated the existence of global weak solutions, with nonincreasing energy, to the Navier-Stokes equations in three dimensions. In this talk, we exhibit two distinct Leray solutions with zero initial velocity and&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/non-uniqueness-of-leray-solutions-of-the-forced-navier-stokes-equations-elia-brue-institute-for-advanced-study-princeton\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-5657","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1656433800,"unipievents_enddate":1656437400,"unipievents_place":"Dipartimento di Matematica, Aula Magna.","unipievents_externalid":100,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/5657","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":0,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/5657\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=5657"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=5657"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=5657"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}