{"id":2705,"date":"2023-03-20T22:29:36","date_gmt":"2023-03-20T21:29:36","guid":{"rendered":"http:\/\/nmo.matf.bg.ac.rs\/?p=2705"},"modified":"2023-09-08T01:01:18","modified_gmt":"2023-09-08T00:01:18","slug":"predavanje-prof-dr-endre-silija-sa-univerziteta-u-oksfordu-31-3-2023","status":"publish","type":"post","link":"https:\/\/nmo.matf.bg.ac.rs\/en\/predavanje-prof-dr-endre-silija-sa-univerziteta-u-oksfordu-31-3-2023\/","title":{"rendered":"Lecture by prof. Dr. Endre S\u00fcli of the University of Oxford, 31.3.2023."},"content":{"rendered":"

On Friday, March 31, 2023, Prof. Dr. Endre S\u00fcli<\/a> (University of Oxford) will give a talk entitled \"Discrete De Giorgi-Nash-Moser Theori: Analysis and Applications\" starting at 12:30 p.m. in Room 706 of the Faculty of Mathematics.<\/p>\n\n\n\n

Abstract:<\/h2>\n\n\n\n

The talk is concerned with a large class of numerical methods for
the approximate solution of a system of nonlinear elliptic partial differential equations that arise in models of chemically-reacting
viscous incompressible non-Newtonian fluids. In order to prove the
convergence of the numerical method under consideration one needs to
derive a uniform H\u00f6lder norm bound on the sequence of approximations
in a setting where the diffusion coefficient in the convection-diffusion
equation involved in the system is merely a bounded function with no
additional regularity. This necessitates the development of a discrete
counterpart of De Giorgi\u2019s elliptic regularity theory, which is then
used, in combination with various weak compactness techniques, to
deduce the convergence of the sequence of numerical solutions to a
weak solution of the system of partial differential equations. The
theoretical result are illustrated by numerical experiments for a
model of the synovial fluid, a non-Newtonian chemically-reacting
incompressible fluid contained in the cavities of human joints.<\/p>\n\n\n\n

<\/p>","protected":false},"excerpt":{"rendered":"

U petak, 31. marta 2023. godine, prof. dr Endre \u0160ili (Oksford Univerzitet) odr\u017ea\u0107e predavanje pod naslovom „Discrete\u00a0De\u00a0Giorgi-Nash-Moser\u00a0Theory:\u00a0Analysis\u00a0and\u00a0Applications“ u sali 706 \u041c\u0430temati\u010dkog fakulteta sa po\u010detkom u 12:30…<\/p>","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[60],"tags":[],"class_list":["post-2705","post","type-post","status-publish","format-standard","hentry","category-seminari","no-featured-image"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/nmo.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/posts\/2705","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nmo.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nmo.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nmo.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/nmo.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/comments?post=2705"}],"version-history":[{"count":7,"href":"https:\/\/nmo.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/posts\/2705\/revisions"}],"predecessor-version":[{"id":2713,"href":"https:\/\/nmo.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/posts\/2705\/revisions\/2713"}],"wp:attachment":[{"href":"https:\/\/nmo.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/media?parent=2705"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nmo.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/categories?post=2705"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nmo.matf.bg.ac.rs\/en\/wp-json\/wp\/v2\/tags?post=2705"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}