{"id":26627,"date":"2026-02-03T17:29:07","date_gmt":"2026-02-03T14:29:07","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=26627"},"modified":"2026-02-05T19:08:21","modified_gmt":"2026-02-05T16:08:21","slug":"math-seminar-unbounded-branches-of-traveling-wave-solutions-to-a-class-of-reaction-diffusion-advection-systems-on-the-n-torus-ziad-george-ghanem-700pm-february-5-2025-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-unbounded-branches-of-traveling-wave-solutions-to-a-class-of-reaction-diffusion-advection-systems-on-the-n-torus-ziad-george-ghanem-700pm-february-5-2025-en\/","title":{"rendered":"MATH Seminar: \u201cUnbounded Branches of Traveling Wave Solutions to a Class of Reaction-Diffusion-Advection Systems on the n-Torus\u201d, Ziad George Ghanem, 7:00PM February 5 2025 (EN)"},"content":{"rendered":"<p>You are cordially invited to the seminars organized by the Department of Mathematics.<\/p>\n<p>Speaker: Ziad George Ghanem (University of Texas-Dallas)<\/p>\n<p>\u201cUnbounded Branches of Traveling Wave Solutions to a Class of Reaction-Diffusion-Advection Systems on the n-Torus\u201d<\/p>\n<p>Abstract: We study the existence of traveling wave solutions to a class of non-local reaction-diffusion equations on the $n$-dimensional torus.<br \/>\nBy applying a traveling wave ansatz, the problem is reduced to a non-local, autonomous elliptic system with advection. We employ methods from $\\mathbb T^n$-equivariant bifurcation theory to analyze this system, deriving conditions for the emergence of unbounded branches of spatially patterned traveling wave solutions associated with Fourier modes not orthogonal to a given wave speed vector.<\/p>\n<p>Date: February 5, Thursday<br \/>\nTime: 19:00 (Ankara)<br \/>\nPlace: Zoom<\/p>\n<p>To request the event link, please send a message to gokhan.yildirim@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"<p>You are cordially invited to the seminars organized by the Department of Mathematics. Speaker: Ziad George Ghanem (University of Texas-Dallas) \u201cUnbounded Branches of Traveling Wave Solutions to a Class of Reaction-Diffusion-Advection Systems on the n-Torus\u201d Abstract: We study the existence of traveling wave solutions to a class of non-local reaction-diffusion [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-unbounded-branches-of-traveling-wave-solutions-to-a-class-of-reaction-diffusion-advection-systems-on-the-n-torus-ziad-george-ghanem-700pm-february-5-2025-en\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-26627","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/26627","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=26627"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/26627\/revisions"}],"predecessor-version":[{"id":26628,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/26627\/revisions\/26628"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=26627"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=26627"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=26627"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}