{"id":212,"date":"2015-11-03T12:38:31","date_gmt":"2015-11-03T20:38:31","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=212"},"modified":"2015-11-03T12:38:31","modified_gmt":"2015-11-03T20:38:31","slug":"baoping-liu","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2015\/11\/03\/baoping-liu\/","title":{"rendered":"Baoping Liu"},"content":{"rendered":"<p>\t\t\t\tMonday, Nov 9th 2015<\/p>\n<p>Evans Hall, Room 740<\/p>\n<p>&nbsp;<\/p>\n<p>Speaker: Baoping Liu, <span class=\"st\">(Peking University)<\/span><\/p>\n<div>Titile: Long time dynamics for wave equation with potential<\/div>\n<div><\/div>\n<div>Abstract:\u00a0We consider the long time dynamics of radial solutions to the defocusing energy critical wave equation with\u00a0radial\u00a0potential in 3+1 dimensions. For general potential, the equation can have a unique positive ground state and a number of excited states. In this talk, we show that for generic potential, generic radial solutions scatter to one of the stable steady states and each unstable excited state attracts a finite co-dimensional manifold of solutions. This gives affirmative answer to the soliton resolution conjecture for this particular model.<\/div>\n<div><\/div>\n<div>This talk is based on joint works with Hao Jia, Wilhelm Schlag and Guixiang Xu.<\/div>\n<div><\/div>\n<div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Monday, Nov 9th 2015 Evans Hall, Room 740 &nbsp; Speaker: Baoping Liu, (Peking University) Titile: Long time dynamics for wave equation with potential Abstract:\u00a0We consider the long time dynamics of radial solutions to the defocusing energy critical wave equation with\u00a0radial\u00a0potential in 3+1 dimensions. For general potential, the equation can have a unique positive ground state [&hellip;]<\/p>\n","protected":false},"author":105,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-212","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/212","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\/105"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=212"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/212\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=212"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=212"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=212"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}