{"id":4535,"date":"2022-05-04T10:01:47","date_gmt":"2022-05-04T08:01:47","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/perimeter-with-densities-an-energy-for-epitaxial-growth-marco-caroccia\/"},"modified":"2022-05-04T10:01:47","modified_gmt":"2022-05-04T08:01:47","slug":"perimeter-with-densities-an-energy-for-epitaxial-growth-marco-caroccia","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/perimeter-with-densities-an-energy-for-epitaxial-growth-marco-caroccia\/","title":{"rendered":"Perimeter with densities: an energy for epitaxial growth &#8211; Marco Caroccia"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Sala Seminari (Dip. Matematica).<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>In this talk I will introduce a free energy, first studied by Ratz and Voigt, defined as the integration over the reduced boundary of  a crystal E of a suitable psi(u(x)) where psi is a convex function and u denotes the  adatom density (the density of atoms not attached to the crystal and  free to move on the surface). This energy leads the surface diffusion  evolution in absence of the elastic stress and for small adatom  densities. We treat the variational point of view, by analyzing the semicontinuity  issues and the relaxad functional. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk I will introduce a free energy, first studied by Ratz and Voigt, defined as the integration over the reduced boundary of a crystal E of a suitable psi(u(x)) where psi is a convex function and u denotes the adatom density (the density of&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/perimeter-with-densities-an-energy-for-epitaxial-growth-marco-caroccia\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4535","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1543424400,"unipievents_enddate":1543428000,"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\/4535","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\/4535\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4535"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4535"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}