Flux limited generalized porous media diffusion equations
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 geometri...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:102796 |
| Acceso en línea: | https://ddd.uab.cat/record/102796 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_57113_07 |
| Access Level: | acceso abierto |
| Palabra clave: | Degenerate parabolic equations Flux limited diffusion Nonlinear semigroup |
| Sumario: | 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. |
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