DG-MP-PDE Seminar: Traveling Fronts in Combustible Media

  • Date: 01/28/2010
Lecturer(s):
Andrej Zlatos (University of Chicago)
Location: 

University of British Columbia

Description: 

Traveling fronts are special solutions of reaction-diffusion equations
which model phenomena such as propagation of species in an environment
or spreading of flames in combustible media. In this talk we will
address questions of existence, uniqueness, and stability of traveling
fronts in general inhomogeneous media. We will show that in certain
circumstances a unique front exists and it is a global attractor of the
corresponding parabolic evolution, thus describing long time dynamics
for very general solutions of the PDE. In contrast to this, we will
also present examples of media where no traveling front solutions
exist.

Schedule: 

3:30pm-4:30pm, WMAX 110

Sponsor: 

pims