NONUNIQUENESS AND SINGULAR RADIAL SOLUTIONS OF SYSTEMS OF CONSERVATION LAWS

doi:10.1016/S0252-9602(12)60023-X

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (1): 367-379.doi: 10.1016/S0252-9602(12)60023-X

NONUNIQUENESS AND SINGULAR RADIAL SOLUTIONS OF SYSTEMS OF CONSERVATION LAWS

Michael G. Hilgers

Business and Information Technology Department, Missouri University of S &|T, Missouri 65409, USA

收稿日期:2011-11-30 出版日期:2012-01-20 发布日期:2012-01-20

NONUNIQUENESS AND SINGULAR RADIAL SOLUTIONS OF SYSTEMS OF CONSERVATION LAWS

Michael G. Hilgers

Business and Information Technology Department, Missouri University of S &|T, Missouri 65409, USA

Received:2011-11-30 Online:2012-01-20 Published:2012-01-20

摘要/Abstract

摘要：

The case of a radial initial state for a family of hyperbolic systems of con-servation laws with several spatial dimensions is considered. It will be shown that the singularity at the origin introduces multiple solutions outside of the traditional admissible classes.

关键词: conservation laws, singular solutions, nonuniqueness

Abstract:

Key words: conservation laws, singular solutions, nonuniqueness

中图分类号:

35L67

Michael G. Hilgers. NONUNIQUENESS AND SINGULAR RADIAL SOLUTIONS OF SYSTEMS OF CONSERVATION LAWS[J]. 数学物理学报(英文版), 2012, 32(1): 367-379.

Michael G. Hilgers. NONUNIQUENESS AND SINGULAR RADIAL SOLUTIONS OF SYSTEMS OF CONSERVATION LAWS[J]. Acta mathematica scientia,Series B, 2012, 32(1): 367-379.

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NONUNIQUENESS AND SINGULAR RADIAL SOLUTIONS OF SYSTEMS OF CONSERVATION LAWS

NONUNIQUENESS AND SINGULAR RADIAL SOLUTIONS OF SYSTEMS OF CONSERVATION LAWS

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