R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
The Existence of Traveling Wave Solutions with the Minimal Propagation Speed of Scalar Reaction-diffusion Equations
Shih-Hsin Chen (NCTS)
Abstract
This presentation follows the paper [1] on the classical problem of speed selection for the traveling wave solution of the scalar reaction-diffusion equation. In this talk, I will briefly
introduce the selection problem. Then I will apply the variation method to prove the existence of the traveling wave solutions with minimal propagation speed.
Reference
[1] Lucia, Marcello and Muratov, Cyrill B and Novaga, Matteo, Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction-diffusion equations invading an unstable equilibrium, Communications on Pure and Applied Mathematics: A Journal Issued by the Courant Institute of Mathematical Sciences, vol. 57, no. 5, pp. 616–636, 2004.
