R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
The Existence of Traveling Wave Solutions of Reaction Diffusion Systems of the Gradient-type Non-linearity. Part I and II
Hui-Chi Zhang (National Cheng Kung University)
Abstract
This presentation follows the paper [1] on the classical problem of the traveling wave solutions of reaction diffusion systems of the gradient-type non-linearity.
In this talk, I will briefly introduce the variation problem. Then I will apply the variation method to prove the existence of the traveling wave solutions of reaction diffusion systems of the gradient-type non-linearity.
Reference
[1] Lucia, M., Muratov, C.B. Novaga, M. Existence of Traveling Waves of Invasion for Ginzburg-Landau-type problems in infinite cylinders. Arch Rational Mech Anal 188, 475-508 (2008).