ON THE COMPACTNESS FOR TWO DIMENSIONAL SCALAR CONSERVATION LAW WITH DISCONTINUOUS FLUX

被引：0

作者：

Aleksic, Jelena ^{[1
]}

Mitrovic, Darko ^{[2
]}

机构：

[1] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000, Serbia

[2] Univ Montenegro, Fac Math & Nat Sci, Podgorica 81000, Montenegro

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2009年 / 7卷 / 04期

关键词：

Scalar conservation law; discontinuous flux; vanishing viscosity; regularized flux; strong L-loc(1)-precompactness; H-measures; EXISTENCE; UNIQUENESS; STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a family of solutions to a Cauchy problem for a two dimensional scalar conservation law with a discontinuous smoothed flux and the vanishing viscosity is strongly L-loc(1)-precompact under a new genuine nonlinearity condition, weaker than in previous works on the subject.

引用

页码：963 / 971

页数：9

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