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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Shocks violating Lax's condition are unstable


Authors: E. D. Conway and J. A. Smoller
Journal: Proc. Amer. Math. Soc. 39 (1973), 353-356
MSC: Primary 35L65
MathSciNet review: 0430545
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Abstract: For a system of two conservation laws, we prove that solutions violating Lax's condition across shocks are unstable relative to smoothing of the initial data.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0430545-3
PII: S 0002-9939(1973)0430545-3
Article copyright: © Copyright 1973 American Mathematical Society