{"id":18664,"date":"2023-12-01T14:35:05","date_gmt":"2023-12-01T06:35:05","guid":{"rendered":"https:\/\/virtual.math.ntnu.edu.tw\/?p=18664"},"modified":"2023-12-04T15:17:51","modified_gmt":"2023-12-04T07:17:51","slug":"talk20231206hayk","status":"publish","type":"post","link":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/2023\/12\/01\/talk20231206hayk\/","title":{"rendered":"<span style=\"color:#3566BD\">[NTNU MATH-CAG-MSRC Jointed Seminar on Geometric Analysis] <\/span>\u301012\u67086\u65e5\u3011Hayk Mikayelyan \/ Stabilization technique applied on curve shortening flow in R^2 and R^3."},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"18664\" class=\"elementor elementor-18664\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-69d0e9d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"69d0e9d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4dd36a6\" data-id=\"4dd36a6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-07c5460 elementor-widget elementor-widget-text-editor\" data-id=\"07c5460\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3>\u8b1b\u984c\uff1aStabilization technique applied on curve shortening flow in R^2 and R^3.<\/h3><h4><b>Abstract:<\/b><\/h4><p>First we apply the stabilization technique, developed by T. Zelenyak in 1960s for parabolic equations, on the curve shortening flow in R^2, and derive a new monotonicity formula with logarithmic terms. Then we use this idea and derive several new monotonicity formulas for the CSF in R^3. All of them share one main feature: the dependence of the \u201cenergy\u201d term on the angle between the position vector and the plane orthogonal to the tangent vector. The first formula deals with the projection of the curve on the unit sphere, and computes the derivative of its length. The second formula is the generalization of the classical formula of G. Huisken, while the third one is the generalization of the monotonicity formula with logarithmic terms mentioned above in R^3.<\/p><h4>\u8b1b\u8005\uff1aDr. Hayk Mikayelyan<br \/>\uff08Associate Professor in Applied Mathematics,\u00a0University of Nottingham Ningbo China\uff09<br \/>\u65e5\u671f\uff1a2023\u5e7412\u67086\u65e5\uff08\u661f\u671f\u4e09\uff09\u6642\u9593\uff1a15:30~16:30<br \/>\u5730\u9ede\uff1a\u516c\u9928\u6821\u5340\u6578\u5b78\u9928M210<br \/>\u8996\u8a0a\u9023\u7d50\uff1a<a href=\"https:\/\/meet.google.com\/zat-fwnx-sen\" target=\"_blank\" rel=\"noopener\">https:\/\/meet.google.com\/zat-fwnx-sen<\/a><br \/>\u8b1b\u8005\u7db2\u9801\uff1a<a href=\"https:\/\/research.nottingham.edu.cn\/en\/persons\/hayk-mikayelyan\" target=\"_blank\" rel=\"noopener\">https:\/\/research.nottingham.edu.cn\/en\/persons\/hayk-mikayelyan<\/a><\/h4>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<p class=\"wpf_wrapper\"><a class=\"print_link\" href=\"\" target=\"_blank\">\u53cb\u5584\u5217\u5370<\/a><\/p><!-- .wpf_wrapper -->","protected":false},"excerpt":{"rendered":"<p>\u8b1b\u984c\uff1aStabilization technique applied on curve shortening  [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[1,124],"tags":[],"_links":{"self":[{"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/posts\/18664"}],"collection":[{"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/comments?post=18664"}],"version-history":[{"count":26,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/posts\/18664\/revisions"}],"predecessor-version":[{"id":18719,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/posts\/18664\/revisions\/18719"}],"wp:attachment":[{"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/media?parent=18664"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/categories?post=18664"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/tags?post=18664"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}