| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4627468 | Applied Mathematics and Computation | 2014 | 17 Pages |
Abstract
We prove existence and uniqueness of radial weak solutions of the doubly nonlinear parabolic equationut=div[D(u)ϕ(∇u)],ut=div[D(u)ϕ(∇u)],whereD and ϕϕ satisfy some hypothesis. This cover the particular case where D(s)=s(1-s)D(s)=s(1-s) and ϕ(p)≔p/(1+|p|2)ϕ(p)≔p/(1+|p|2) which is the hydrological case. Numerical simulations are provided also.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
H. Hajj Chehade, M. Jazar, A. Mourad,