Traveling Wave Solutions of Advection-Diffusion Equations with Nonlinear Diffusion

Details Traveling Wave Solutions of Advection-Diffusion Equations with Nonlinear Diffusion Traveling Wave Solutions of Advection-Diffusion Equations with Nonlinear Diffusion

2012-01-24

arxiv.org/abs/1201.4920v1

Mathematics

Analysis of PDEs

40 pages, 1 figure

Scientific paper

We study the existence of particular traveling wave solutions of a nonlinear parabolic degenerate diffusion equation with a shear flow. Under some assumptions we prove that such solutions exist at least for propagation speeds c {\in}]c*, +{\infty}, where c* > 0 is explicitly computed but may not be optimal. We also prove that a free boundary hy- persurface separates a region where u = 0 and a region where u > 0, and that this free boundary can be globally parametrized as a Lipschitz continuous graph under some additional non-degeneracy hypothesis; we investigate solutions which are, in the region u > 0, planar and linear at infinity in the propagation direction, with slope equal to the propagation speed.

Affiliated with

Also associated with

No associations

Rating

Traveling Wave Solutions of Advection-Diffusion Equations with Nonlinear Diffusion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Traveling Wave Solutions of Advection-Diffusion Equations with Nonlinear Diffusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Traveling Wave Solutions of Advection-Diffusion Equations with Nonlinear Diffusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-106606