Special Session 96: Evolutionary Equations Systems

Singular traveling waves in parabolic operators with a divergence-shaped flow operator.
Juan Campos
Universidad de Granada
Spain
Co-Author(s):    
Abstract:
We are going to analyze the traveling waves problem of $$ u_t= (a(u, u_x) )_x+f(u),\qquad (t,x)\in \mathbb{R}^2, $$ where $a(u, u_x)$ is an increasing function in the second component and $f$ is of Fisher type. The main problem is to make sense of the singular solution to provide information on the speed of propagation of the evolution of a compact supported initial data.