{"id":47,"date":"2014-10-03T10:24:29","date_gmt":"2014-10-03T17:24:29","guid":{"rendered":"\/wp\/apde\/?p=47"},"modified":"2014-10-03T10:24:29","modified_gmt":"2014-10-03T17:24:29","slug":"alan-hammond-october-6","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2014\/10\/03\/alan-hammond-october-6\/","title":{"rendered":"Alan Hammond (October 6)"},"content":{"rendered":"<p>\t\t\t\tSpeaker: Alan Hammond (UC Berkeley)<\/p>\n<p>Title: Moment bounds and mass-conservation in PDE modelling coalescence<\/p>\n<p>Abstract: We examine the behaviour of solutions to a system of PDE<br \/>\n(the Smoluchowski PDE), that model the aggregation of<br \/>\nmass-bearing particles that diffuse and are prone to<br \/>\ncoagulate in pairs at close range. Conditions under which<br \/>\nthese solutions conserve mass for all time will be<br \/>\npresented, along with stronger estimates, moment bounds<br \/>\nthat show that heavy particles are rare. Uniqueness of<br \/>\nsolutions also follows from the moment bounds.<\/p>\n<p>This is joint work with Fraydoun Rezakhanlou.\t\t<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker: Alan Hammond (UC Berkeley) Title: Moment bounds and mass-conservation in PDE modelling coalescence Abstract: We examine the behaviour of solutions to a system of PDE (the Smoluchowski PDE), that model the aggregation of mass-bearing particles that diffuse and are prone to coagulate in pairs at close range. Conditions under which these solutions conserve mass [&hellip;]<\/p>\n","protected":false},"author":103,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-47","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/47","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\/103"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=47"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/47\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=47"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=47"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=47"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}