THE RIEMANN PROBLEM FOR KERR EQUATIONS AND NON-UNIQUENESS OF SELFSIMILAR ENTROPY SOLUTIONS

被引：0

作者：

Aregba-Driollet, Denise ^{[1
]}

机构：

[1] Univ Bordeaux, Inst Math Bordeaux, UMR 5251, IPB, 351 Cours Liberat, F-33405 Talence, France

来源：

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS | 2014年 / 8卷

关键词：

Systems of conservation laws; Riemann problem; Lax entropy solutions; Liu's criteria; nonlinear Maxwell's equations; CONSERVATION-LAWS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve the Riemann problem for a nonlinear full wave Maxwell system arising in nonlinear optics. This system is hyperbolic, some eigenvalues have non-constant multiplicity and are neither genuinely nonlinear, nor linearly degenerate. In a particular 2x2 reduced case, we are able to exhibit two distinct selfsimilar entropy solutions. We compute the amounts of entropy dissipation and compare them.

引用

页码：269 / 276

页数：8

共 13 条

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