Display Abstract

Title Travelling waves in a Fisher-Kolmogorov-type model with degenerate diffusion and nonsmooth reaction

Name Pavel Drabek
Country Czech Rep
Email pdrabek@kma.zcu.cz
Co-Author(s) Peter Takac
Submit Time 2014-02-28 04:46:42
Session
Special Session 44: Quasilinear elliptic and parabolic problems and their applications
Contents
We will discuss the existence and uniqueness of monotone travelling waves connecting the equilibrium states 0 and 1. They can either only approach these equilibria at plus or minus infinity, or else attain them at finite points, depending on the interaction between the degenerate and/or singular diffusion and the nonsmooth reaction function. Then we discuss the approach to such travelling waves by solutions with rather general initial data that are sqeezed between two travelling waves (that are each other's shift).