Nonlinear porous medium flow with fractional potential pressure

Details Nonlinear porous medium flow with fractional potential pressure Nonlinear porous medium flow with fractional potential pressure

2010-01-03

arxiv.org/abs/1001.0410v2

Mathematics

Analysis of PDEs

32 pages, Latex

Scientific paper

We study a porous medium equation, with nonlocal diffusion effects given by
an inverse fractional Laplacian operator. We pose the problem in n-dimensional
space for all t>0 with bounded and compactly supported initial data, and prove
existence of a weak and bounded solution that propagates with finite speed, a
property that is nor shared by other fractional diffusion models.

Affiliated with

Also associated with

No associations

Rating

Nonlinear porous medium flow with fractional potential pressure 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 Nonlinear porous medium flow with fractional potential pressure, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear porous medium flow with fractional potential pressure will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-6500