{"id":4766,"date":"2023-01-18T08:31:30","date_gmt":"2023-01-18T08:31:30","guid":{"rendered":"https:\/\/iamm.in.ua\/?p=4766"},"modified":"2023-02-03T08:44:06","modified_gmt":"2023-02-03T08:44:06","slug":"seminar-contemporary-analysis-and-partial-differential-equations","status":"publish","type":"post","link":"https:\/\/iamm.in.ua\/?p=4766&lang=en","title":{"rendered":"SEMINAR \u201cContemporary Analysis and Partial Differential Equations\u201d (24.01.2023)"},"content":{"rendered":"<p><img decoding=\"async\" loading=\"lazy\" class=\"size-medium wp-image-4770 alignright\" src=\"https:\/\/iamm.in.ua\/wp-content\/uploads\/2023\/01\/Allea-300x84.jpg\" alt=\"\" width=\"300\" height=\"84\" srcset=\"https:\/\/iamm.in.ua\/wp-content\/uploads\/2023\/01\/Allea-300x84.jpg 300w, https:\/\/iamm.in.ua\/wp-content\/uploads\/2023\/01\/Allea.jpg 483w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p style=\"text-align: center;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 14pt;\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-4773 alignleft\" src=\"https:\/\/iamm.in.ua\/wp-content\/uploads\/2023\/01\/Logo-IAMM-300x292.png\" alt=\"\" width=\"133\" height=\"129\" srcset=\"https:\/\/iamm.in.ua\/wp-content\/uploads\/2023\/01\/Logo-IAMM-300x292.png 300w, https:\/\/iamm.in.ua\/wp-content\/uploads\/2023\/01\/Logo-IAMM.png 583w\" sizes=\"(max-width: 133px) 100vw, 133px\" \/><\/span><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/scholar.google.co.uk\/citations?hl=en&amp;user=5YUD-jcAAAAJ&amp;view_op=list_works&amp;sortby=pubdate\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 14pt;\">Georgy Kitavtsev<\/span><\/strong><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif; font-size: 14pt;\">Middle East Technical University, Northern Cyprus Campus<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif; font-size: 14pt;\">georgy.kitavtsev@gmail.com<\/span><\/p>\n<p style=\"text-align: center;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 14pt;\"><em>Liquid crystal defects in the Landau\u2013de Gennes theory of liquid crystals<\/em><\/span><\/strong><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif; font-size: 14pt;\">Tuesday, 24 January 2023 at 12:00<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif; font-size: 14pt;\">On line:&nbsp;<a href=\"https:\/\/meet.google.com\/qgc-xcyp-mzp\" target=\"_blank\" rel=\"noopener\">https:\/\/meet.google.com\/qgc-xcyp-mzp<\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif; font-size: 14pt;\"><strong>Abstract<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; font-size: 14pt;\">In this talk I will introduce and motivate Q-tensors and the associated Landau\u2013de Gennes energy modelling liquid crystal configurations not far from the thermodynamic equilibrium. \u0130mposing k-radially symmetric boundary conditions I will show that the critical points consistent with the symmetry of the boundary conditions exist only in the case k=2 and identify three types of radial profiles: with two, three or full five components and numerically investigate their minimality and stability properties depending on suitable parameters. Generic bifurcation diagrams for different type solutions are then calculated numerically and justified analytically. This is a joint work with Valeriy Slastikov and Jonathan Robbins (University of Bristol) and Arghir Zarnescu (Basque Center for Applied Mathematics).<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-size: 14pt; font-family: georgia, palatino, serif;\">Seminar video report<\/span><\/p>\n<p><span style=\"font-size: 14pt; font-family: georgia, palatino, serif;\"> <iframe loading=\"lazy\" src=\"\/\/www.youtube.com\/embed\/ibssREfEMvg\" width=\"560\" height=\"314\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<div class=\"slide-text-bg2\"><span>&nbsp; &nbsp; &nbsp; &nbsp; Georgy Kitavtsev Middle East Technical University, Northern Cyprus Campus georgy.kitavtsev@gmail.com Liquid crystal defects in <\/span><\/div>\n<div class=\"slide-btn-area-sm\"><a href=\"https:\/\/iamm.in.ua\/?p=4766&#038;lang=en\" class=\"slide-btn-sm\">\u041f\u0440\u043e\u0447\u0438\u0442\u0430\u0442\u044c \u0431\u043e\u043b\u044c\u0448\u0435<\/a><\/div>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[99,74],"tags":[],"_links":{"self":[{"href":"https:\/\/iamm.in.ua\/index.php?rest_route=\/wp\/v2\/posts\/4766"}],"collection":[{"href":"https:\/\/iamm.in.ua\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/iamm.in.ua\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/iamm.in.ua\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/iamm.in.ua\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4766"}],"version-history":[{"count":17,"href":"https:\/\/iamm.in.ua\/index.php?rest_route=\/wp\/v2\/posts\/4766\/revisions"}],"predecessor-version":[{"id":4837,"href":"https:\/\/iamm.in.ua\/index.php?rest_route=\/wp\/v2\/posts\/4766\/revisions\/4837"}],"wp:attachment":[{"href":"https:\/\/iamm.in.ua\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4766"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/iamm.in.ua\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4766"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/iamm.in.ua\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4766"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}