FLUX LIMITED GENERALIZED POROUS MEDIA DIFFUSION EQUATIONS

被引：14
|
作者：
Caselles, V. [1 ]
机构：
[1] Univ Pompeu Fabra, Dept Tecnol Informacio & Comunicacio, Barcelona 08018, Spain
来源：
PUBLICACIONS MATEMATIQUES | 2013年 / 57卷 / 01期
关键词：
Degenerate parabolic equations; flux limited diffusion; nonlinear semigroup; QUASI-LINEAR EQUATION; RENORMALIZED SOLUTIONS; ENTROPY SOLUTIONS; UNIQUENESS; EXISTENCE; REGULARITY; FUNCTIONALS;
D O I：
10.5565/PUBLMAT_57113_07
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：155 / 217
页数：63
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