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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Leonard Monsaingeon Carnegie Melllon University 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: http://mm.math.cmu.edu/recordings/cna/CNA-LeonardMonsaingeon-Sep-11-2012.aviRecording: http://mm.math.cmu.edu/recordings/cna/CNA-LeonardMonsaingeon-Sep-11-2012.mp4Pdf File: MonsaingeonLeonard.pdfDate: Tuesday, September 11, 2012Time: 1:30 pmLocation: Wean Hall 7218Submitted by: David Kinderlehrer |