il prossimo incontro del ciclo dei “Seminari di Analisi junior” si terr\u00e0 gioved\u00ec 17 ottobre 2024<\/b>\u00a0alle ore\u00a015.30<\/b>, nella\u00a0Sala Professori<\/b>\u00a01\u00b0 Livello<\/b>. Di seguito, riportiamo i nomi dei due speaker e gli abstract dei loro talk.<\/p>\n
Maicol Caponi:<\/b>\u00a0“A fractional approach to strain-gradient plasticity:
\nbeyond core-radius of discrete dislocations”
\nAbstract:<\/b>\u00a0In this talk we derive a strain-gradient theory for plasticity
\nas the Gamma-limit of discrete dislocation fractional energies, without
\nthe introduction of a core-radius. By using the finite horizon
\nfractional gradient introduced by Bellido, Cueto, and Mora-Corral, we
\nconsider a nonlocal model of semi-discrete dislocations, in which the
\nstored elastic energy is computed via the fractional gradient of order
\n1-alpha. As alpha goes to 0, we show that suitably rescaled energies
\nGamma-converge to the macroscopic strain-gradient model of Garroni,
\nLeoni, and Ponsiglione.
\nThis is a joint work with Stefano Almi (Universit\u00e0 degli Studi di Napoli
\n“Federico II”), Manuel Friedrich (FAU Erlangen-N\u00fcrnberg), and Francesco
\nSolombrino (Universit\u00e0 degli Studi di Napoli “Federico”).<\/p>\n
Giulio Pascale<\/b>:\u00a0 “Variational Results on Capillary Isoperimetric
\nProblems and Liquid Drop Models”
\nAbstract:<\/b>\u00a0The classical capillarity problem aims at minimizing, among
\nsets satisfying a volume constraint in a given container, a suitable
\nweighted perimeter. We consider the\u00a0 contribution of the interface that
\ntouches the boundary of the container as being weighted by a fixed
\nconstant representing the relative adhesion coefficient between aliquid
\ndrop and the solid walls of the container. If the container is a
\nhalfspace, the isoperimetric sets for such problem are given by suitably
\ntruncated balls lying on the boundary of the halfspace.
\nThe aim of this talk is to present a new quantitative isoperimetric
\ninequality for the capillarity problem in a halfspace, which estimates
\nthe asymmetry of a competitor relative to the optimal bubble with the
\ncorresponding isoperimetric deficit, together with some existence
\nresults when nonlocal interaction and gravity are added.
\nThe talk is based on an ongoing project in collaboration with M.
\nPozzetta.
\nReferences:<\/b>
\n[1] G.Pascale, M.Pozzetta, Quantitative isoperimetric inequalities for
\nclassical capillarity problems,Calc.Var., 2024.
\n[2] G.Pascale, Existence and nonexistence of minimizers for classical
\ncapillarity problems in presence of nonlocal repulsion and gravity,
\nArXiv, 2024.<\/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-5233","ajde_events","type-ajde_events","status-publish","has-post-thumbnail","hentry","event_location-sala-professori-al-i-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\/5233","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=5233"}],"version-history":[{"count":2,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events\/5233\/revisions"}],"predecessor-version":[{"id":5235,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events\/5233\/revisions\/5235"}],"wp:attachment":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5233"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5233"},{"taxonomy":"event_type","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fevent_type&post=5233"},{"taxonomy":"event_type_2","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fevent_type_2&post=5233"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}