{"id":4432,"date":"2022-05-04T09:58:58","date_gmt":"2022-05-04T07:58:58","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/constantin-and-iyers-representation-formula-for-the-navier-stokes-equations-on-manifolds-dejun-luo-academy-of-mathematics-and-system-sciences-chinese-academy-of-sciences-beijing\/"},"modified":"2022-05-04T09:58:58","modified_gmt":"2022-05-04T07:58:58","slug":"constantin-and-iyers-representation-formula-for-the-navier-stokes-equations-on-manifolds-dejun-luo-academy-of-mathematics-and-system-sciences-chinese-academy-of-sciences-beijing","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/constantin-and-iyers-representation-formula-for-the-navier-stokes-equations-on-manifolds-dejun-luo-academy-of-mathematics-and-system-sciences-chinese-academy-of-sciences-beijing\/","title":{"rendered":"Constantin and Iyer&#8217;s representation formula for the Navier&#8211;Stokes equations on manifolds &#8211; Dejun Luo (Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Sala Seminari (Dip. Matematica).<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>In this talk, we will present a probabilistic representation formula for the Navier-Stokes equations on compact Riemannian manifolds. Such a formula has been provided by Constantin and Iyer in the flat case. On a Riemannian manifold, there are several different choices of Laplacian operators acting on vector fields. We shall use the de Rham-Hodge Laplacian operator which seems more relevant to the probabilistic setting, and adopt Elworthy-Le Jan-Li&#8217;s idea to decompose it as a sum of the square of Lie derivatives. This is a joint work with Shizan Fang. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk, we will present a probabilistic representation formula for the Navier-Stokes equations on compact Riemannian manifolds. Such a formula has been provided by Constantin and Iyer in the flat case. On a Riemannian manifold, there are&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/constantin-and-iyers-representation-formula-for-the-navier-stokes-equations-on-manifolds-dejun-luo-academy-of-mathematics-and-system-sciences-chinese-academy-of-sciences-beijing\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4432","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1494929700,"unipievents_enddate":1494933300,"unipievents_place":"Sala Seminari (Dip. Matematica).","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\/4432","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\/4432\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4432"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4432"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4432"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}