Acta mathematica scientia, Series B >
NONUNIQUENESS AND SINGULAR RADIAL SOLUTIONS OF SYSTEMS OF CONSERVATION LAWS
Received date: 2011-11-30
Online published: 2012-01-20
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.
Key words： conservation laws; singular solutions; nonuniqueness
Michael G. Hilgers . NONUNIQUENESS AND SINGULAR RADIAL SOLUTIONS OF SYSTEMS OF CONSERVATION LAWS[J]. Acta mathematica scientia, Series B, 2012 , 32(1) : 367 -379 . DOI: 10.1016/S0252-9602(12)60023-X
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