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| Home > Articles > Published articles > Flux limited generalized porous media diffusion equations |
| Date: | 2013 |
| Abstract: | We study a class of generalized porous media type flux limited diffusion equations and we prove the existence and uniqueness of entropy solutions. We compute the Rankine-Hugoniot condition on the jump set for solutions which are of locally bounded variation in space and time. We give also a geometric characterization of the entropy conditions on the jump set for a restricted class of this type of equations. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Subject: | Degenerate parabolic equations ; Flux limited diffusion ; Nonlinear semigroup |
| Published in: | Publicacions matemàtiques, Vol. 57, Núm. 1 (2013) , p. 155-217, ISSN 2014-4350 |
