Singular shock waves in interactions
Author:
Marko Nedeljkov
Journal:
Quart. Appl. Math. 66 (2008), 281302
MSC (2000):
Primary 35L65, 35L67
Published electronically:
February 7, 2008
MathSciNet review:
2416774
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Abstract: In a number of papers it has been shown that there exist onedimensional systems such that they contain solutions with socalled overcompressive singular shock waves besides the usual elementary waves (shock and rarefaction waves as well as contact discontinuities). One can see their definition for a general 2 2 system with fluxes linear in one of the dependent variables in Nedeljkov, Delta and singular delta locus for one dimensional systems of conservation laws, Math. Method Appl. Sci. 27 (2004), 931955. This paper is devoted to examining their interactions with themselves and elementary waves. After a discussion of systems given in a general form, a complete analysis will be given for the ionacoustic system given in Keyfitz and Kranzer, Spaces of weighted measures for conservation laws with singular shock solutions, J. Differ. Equations 118 (1995), no. 2, 420451.
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Additional Information
Marko Nedeljkov
Affiliation:
Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Yugoslavia
Email:
markonne@uns.ns.ac.yu, marko@im.ns.ac.yu
DOI:
http://dx.doi.org/10.1090/S0033569X08011095
PII:
S 0033569X(08)011095
Keywords:
conservation law systems,
singular shock wave,
interaction of singularities
Received by editor(s):
June 10, 2006
Published electronically:
February 7, 2008
Additional Notes:
The work is supported by Serbian Ministry of Science and Enviroment Protection, Grant No. 144016
Article copyright:
© Copyright 2008 Brown University
The copyright for this article reverts to public domain 28 years after publication.
