CNA Seminar

Leonard Monsaingeon
CMU
Title: Existence of travelling waves for a degenerate non-linear advection-diffusion equation

Abstract: We consider an advection-diffusion model on infinite cylinders with non-linear diffusion, and investigate wave propagation with a prescribed linear growth condition at infinity. The resulting parabolic equation, which is similar to the Porous Media Equation, is strongly degenerate and sees free boundaries arising. We show that travelling waves exist at least for propagation speeds $c > c_0$, where $c_0 > 0$ is a critical speed explicitly computed in terms of the prescribed flow. This is joint work with. J.M. Roquejoffre (IMT, University Paul Sabatier Toulouse 3) and A. Novikov (PennState University).

Recording (avi): http://mm.math.cmu.edu/recordings/cna/CNA-LeonardMonsaingeon-Sep-11-2012.avi
Recording (mp4): http://mm.math.cmu.edu/recordings/cna/CNA-LeonardMonsaingeon-Sep-11-2012.mp4
Pdf File: MonsaingeonLeonard.pdf
Date: Tuesday, September 11, 2012
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer