Regularized Conservation Laws and Nonlinear Geometric Optics

被引：0
|
作者：
M. Oberguggenberger
Y. G. Wang
机构：
[1]  Universität Innsbruck,
[2] Austria,undefined
[3]  Shanghai Jiao Tong University,undefined
[4] P.R. China,undefined
来源：
Monatshefte für Mathematik | 1999年 / 127卷
关键词：
Key words: Conservation laws; Cauchy problems; nonlinear geometric optics; generalized solutions; 1991 Mathematics Subject Classification: 35L65; 35L45; 35B05; 46F10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
 This paper is devoted to the study of Cauchy problems for regularized conservation laws in Colombeau algebras of generalized functions. The existence and uniqueness of generalized solutions to these Cauchy problems are obtained. Further, we develop a generalized variant of nonlinear geometric optics for the regularized problems. Consistency with the classical results is shown to hold for scalar conservation laws with bounded variation initial data in one space variable.
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页码：55 / 66
页数：11
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