Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws

被引：10

作者：

Chen, GQ

Junca, S

Rascle, M

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

[2] IUFM, CNRS, UMR 6621, F-06108 Nice, France

[3] Univ Nice, CNRS, UMR 6621, F-06108 Nice, France

[4] Univ Nice, Lab JA Dieudonne, F-06108 Nice, France

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年 / 222卷 / 02期

基金：

美国国家科学基金会;

关键词：

nonlinear geometric optics; entropy solutions in L-infinity; multidimensional conservation laws; validity; profile; perturbation; new approach; entropy dissipation; compactness; homogenization; oscillation; scaling; stability; multiscale; BV;

D O I：

10.1016/j.jde.2005.04.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Nonlinear geometric optics with various frequencies for entropy solutions only in L-infinity of multidimensional scalar conservation laws is analyzed. A new approach to validate nonlinear geometric optics is developed via entropy dissipation through scaling, compactness, homogenization, and L-1-stability. New multidimensional features are recognized, especially including nonlinear propagations of oscillations with high frequencies. The validity of nonlinear geometric optics for entropy solutions in L-infinity of multidimensional scalar conservation laws is justified. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：439 / 475

页数：37

共 31 条

[1]

[Anonymous], 1999, SYSTEMS CONSERVATION

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