Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (1): 367-379.doi: 10.1016/S0252-9602(12)60023-X

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NONUNIQUENESS AND SINGULAR RADIAL SOLUTIONS OF SYSTEMS OF CONSERVATION LAWS

Michael G. Hilgers   

  1. 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

Abstract:

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

CLC Number: 

  • 35L67
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