{"id":481,"date":"2017-09-29T11:51:32","date_gmt":"2017-09-29T18:51:32","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=481"},"modified":"2017-09-29T11:51:32","modified_gmt":"2017-09-29T18:51:32","slug":"tim-laux-uc-berkeley","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2017\/09\/29\/tim-laux-uc-berkeley\/","title":{"rendered":"Tim Laux (UC Berkeley)"},"content":{"rendered":"<p>\t\t\t\tThe Analysis and PDE seminar will take place Monday, October 2nd, in 740 Evans from 4:10 to 5pm.<\/p>\n<p>Title: Convergence of phase-field models and thresholding schemes for multi-phase mean curvature flow<\/p>\n<p>Abstract: The thresholding scheme is a time discretization for mean curvature flow. Recently, Esedoglu and Otto showed that thresholding can be interpreted as minimizing movements for an energy that Gamma-converges to the total interfacial area. In this talk I&#8217;ll present new convergence results, in particular in the multi-phase case with arbitrary surface tensions. The main result establishes convergence to a weak formulation of (multi-phase) mean curvature flow in the BV-framework of sets of finite perimeter. Furthermore, I will present a similar result for the vector-valued Allen-Cahn equation.<\/p>\n<p>This talk encompasses joint works with Felix Otto, Thilo Simon, and Drew Swartz.\t\t<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Analysis and PDE seminar will take place Monday, October 2nd, in 740 Evans from 4:10 to 5pm. Title: Convergence of phase-field models and thresholding schemes for multi-phase mean curvature flow Abstract: The thresholding scheme is a time discretization for mean curvature flow. Recently, Esedoglu and Otto showed that thresholding can be interpreted as minimizing [&hellip;]<\/p>\n","protected":false},"author":108,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-481","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/481","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/users\/108"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=481"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/481\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=481"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=481"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=481"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}