{"id":320,"date":"2016-06-17T07:40:30","date_gmt":"2016-06-17T07:40:30","guid":{"rendered":"http:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/?p=320"},"modified":"2016-06-17T07:40:30","modified_gmt":"2016-06-17T07:40:30","slug":"homogenization-of-a-semilinear-heat-equation","status":"publish","type":"post","link":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/2016\/06\/17\/homogenization-of-a-semilinear-heat-equation\/","title":{"rendered":"Homogenization of a semilinear heat equation"},"content":{"rendered":"<p><em>Annalisa Cesaroni (Padova, Italy)<\/em><\/p>\n<p>I will discuss the homogenization of a semilinear heat equation with vanishing viscosity and oscillating\u00a0 potential\u00a0depending on u\/eps.\u00a0 According to the rate between frequency of oscillations and vanishing factor in the viscosity,\u00a0we obtain different limit behaviour of the solutions.\u00a0 In the weak diffusion regime, the effective operator is discontinuous in the gradient entry,\u00a0an unusual phenomenon in homogenization, and makes the analysis of the limit more challenging.\u00a0Joint work with Dirr (Cardiff) and Novaga (Pisa).<\/p>\n<p><a href=\"http:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/programme\/\">Back to Programme<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Annalisa Cesaroni (Padova, Italy) I will discuss the homogenization of a semilinear heat equation with vanishing viscosity and oscillating\u00a0 potential\u00a0depending on u\/eps.\u00a0 According to the rate between frequency of oscillations and vanishing factor in the viscosity,\u00a0we obtain different limit behaviour of the solutions.\u00a0 In the weak diffusion regime, the effective operator is discontinuous in the &hellip; <a href=\"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/2016\/06\/17\/homogenization-of-a-semilinear-heat-equation\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Homogenization of a semilinear heat equation<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-320","post","type-post","status-publish","format-standard","hentry","category-abstracts"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/posts\/320","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/comments?post=320"}],"version-history":[{"count":0,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/posts\/320\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/media?parent=320"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/categories?post=320"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/tags?post=320"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}