{"id":8571,"date":"2023-03-29T17:29:30","date_gmt":"2023-03-29T15:29:30","guid":{"rendered":"https:\/\/www.dm.unipi.it\/?post_type=unipievents&#038;p=8571"},"modified":"2023-03-30T01:23:11","modified_gmt":"2023-03-29T23:23:11","slug":"construction-on-quasi-periodic-nonlinear-waves-in-fluid-mechanics","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/construction-on-quasi-periodic-nonlinear-waves-in-fluid-mechanics\/","title":{"rendered":"Construction on quasi-periodic nonlinear waves in fluid mechanics &ndash; Riccardo Montalto (Universit\u00e0 di Milano Statale)"},"content":{"rendered":"\n<p>In this talk, I will discuss some recent results on Euler and Navier Stokes equations concerning the construction of quasi-periodic solutions and the problem of the inviscid limit for the Navier Stokes equation. I will discuss the following results:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Construction of quasi-periodic solutions for the Euler equation with a time quasi-periodic external force, bifurcating from a constant, diophantine velocity field;<\/li>\n\n\n\n<li>I shall discuss the inviscid limit problem from the perspective of KAM theory, namely, I shall prove the existence of quasi-periodic solutions of the Navier Stokes equation converging to the one of the Euler equation constructed in 1). The main difficulty is that this is a singular limit problem. We overcome this difficulty by implementing a normal form methods which allow to prove sharp estimates (global in time) w.r. to the viscosity parameter;<\/li>\n\n\n\n<li>(time permitting) I also discuss the construction of quasi-periodic traveling waves bifurcating from the Couette flow for the autonomous 2D Euler equation.&nbsp;<\/li>\n<\/ol>\n\n\n\n<p>These works are based on collaborations with Luca Franzoi and Nader Masmoudi.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk, I will discuss some recent results on Euler and Navier Stokes equations concerning the construction of quasi-periodic&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/construction-on-quasi-periodic-nonlinear-waves-in-fluid-mechanics\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":105,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-8571","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1680615000,"unipievents_enddate":1680618600,"unipievents_place":"Aula 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\/8571","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\/105"}],"version-history":[{"count":4,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8571\/revisions"}],"predecessor-version":[{"id":8575,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8571\/revisions\/8575"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=8571"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=8571"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=8571"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}