{"id":4683,"date":"2022-05-04T10:06:27","date_gmt":"2022-05-04T08:06:27","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/finite-energy-weak-solutions-of-the-navier-stokes-korteweg-equations-stefano-spirito\/"},"modified":"2022-05-04T10:06:27","modified_gmt":"2022-05-04T08:06:27","slug":"finite-energy-weak-solutions-of-the-navier-stokes-korteweg-equations-stefano-spirito","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/finite-energy-weak-solutions-of-the-navier-stokes-korteweg-equations-stefano-spirito\/","title":{"rendered":"Finite Energy Weak Solutions of the Navier-Stokes-Korteweg equations &#8211; Stefano Spirito"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Aula Magna &#8211; Dipartimento di Matematica.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>In this talk I will present some results concerning the analysis of the existence of finite energy weak solutions of the Navier-Stokes-Korteweg equations, which model the dynamic of a viscous compressible fluid with capillarity effect. These kind of model are useful to study the dynamic of fluid near vacuum regions.  A general theory of global existence is still missing, however for some particular cases of physical interest, it is possible to prove global existence of weak solutions and I will review some recent results regarding these cases. The talk is based on a series of joint works with Paolo Antonelli (GSSI &#8211; Gran Sasso Science Institute, L\u2019Aquila)   The seminar will be only in presence, those interested in joining the seminar have to register following the link below. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk I will present some results concerning the analysis of the existence of finite energy weak solutions of the Navier-Stokes-Korteweg equations, which model the dynamic of a viscous compressible fluid with capillarity effect. These kind of&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/finite-energy-weak-solutions-of-the-navier-stokes-korteweg-equations-stefano-spirito\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4683","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1637591400,"unipievents_enddate":1637595000,"unipievents_place":"Aula Magna - Dipartimento di 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\/4683","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\/4683\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4683"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4683"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4683"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}