Flux Limited Generalized Porous Media Diffusion Equations
نویسنده
چکیده
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. 2010 Mathematics Subject Classification: 35K55, 35K15, 35K65.
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