You are cordially invited to the seminars organized by the Department of Mathematics.
Speaker: Ziad George Ghanem (University of Texas-Dallas)
“Unbounded Branches of Traveling Wave Solutions to a Class of Reaction-Diffusion-Advection Systems on the n-Torus”
Abstract: We study the existence of traveling wave solutions to a class of non-local reaction-diffusion equations on the $n$-dimensional torus.
By 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.
Date: February 5, Thursday
Time: 19:00 (Ankara)
Place: Zoom
To request the event link, please send a message to gokhan.yildirim@bilkent.edu.tr