{"id":7050,"date":"2026-03-10T14:58:25","date_gmt":"2026-03-10T13:58:25","guid":{"rendered":"https:\/\/www.matematica.unina.it\/?post_type=ajde_events&#038;p=7050"},"modified":"2026-03-10T14:58:25","modified_gmt":"2026-03-10T13:58:25","slug":"prof-m-zanella-on-the-large-time-behaviour-of-coupled-systems-of-kinetic-equations","status":"publish","type":"ajde_events","link":"https:\/\/www.matematica.unina.it\/?ajde_events=prof-m-zanella-on-the-large-time-behaviour-of-coupled-systems-of-kinetic-equations","title":{"rendered":"Prof. M. Zanella &#8211; On the large-time behaviour of coupled systems of kinetic equations"},"content":{"rendered":"<p>Per i <strong>Seminari di Fisica Matematica<\/strong> della Federico II,<\/p>\n<p><u>venerd\u00ec 13 marzo 2026 dalle ore 15:00<\/u>, nella <u>Sala Rionero 2L<\/u>,<\/p>\n<p>il professore <em>Mattia Zanella<\/em> dell\u2019Universit\u00e0 di Pavia terr\u00e0 il seminario:<\/p>\n<p>&nbsp;<\/p>\n<p><strong><em>On the large-time behaviour of coupled systems of kinetic equations<\/em><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>Abstract: We study recently developed methods to obtain equilibration rates for\u00a0coupled systems of kinetic equations describing the time evolution of dynamical densities. By employing energy-type distances, we rigorously establish exponential convergence to equilibrium in appropriate homogeneous Sobolev spaces, with a rate explicitly determined by the dissipative contribution of the interaction term. The analysis reveals the intrinsic energy-dissipation mechanism governing the dynamics and highlights how the evolution of expected quantities drives the emergence of stable equilibrium configurations. This framework can provide a unified multiscale connection between classical population models and kinetic-type equations. We conclude by discussing possible extensions to a broader class of partial differential equations and presenting recent applications.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"author":1,"featured_media":-1,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"tags":[],"event_type":[],"event_type_2":[],"class_list":["post-7050","ajde_events","type-ajde_events","status-publish","has-post-thumbnail","hentry","event_location-sala-professori-al-ii-livello-del-dipartimento-di-matematica-ed-applicazioni-renato-caccioppoli"],"_links":{"self":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events\/7050","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events"}],"about":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/types\/ajde_events"}],"author":[{"embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7050"}],"version-history":[{"count":1,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events\/7050\/revisions"}],"predecessor-version":[{"id":7051,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events\/7050\/revisions\/7051"}],"wp:attachment":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7050"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7050"},{"taxonomy":"event_type","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fevent_type&post=7050"},{"taxonomy":"event_type_2","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fevent_type_2&post=7050"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}