Special Session 46: 

Wavefront Solutions of Degenerate Quasilinear Reaction-Diffusion Systems with Mixed Quasi-Monotonicity

Weihua Ruan
Purdue University Northwest
USA
Co-Author(s):    
Abstract:
We study the existence of wavefront solutions in a system of degenerate quasilinear reaction-diffusion equations of mixed quasi-monotone properties in the form \begin{equation*} \partial u_{i}/\partial t=\nabla \cdot \left( D_{i}\left( u_{i}\right) \nabla u_{i}\right) +f_{i}\left( \mathbf{u}\right) \quad -\infty