Shocks violating Lax’s condition are unstable
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- by E. D. Conway and J. A. Smoller PDF
- Proc. Amer. Math. Soc. 39 (1973), 353-356 Request permission
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.References
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- J. A. Smoller and J. L. Johnson, Global solutions for an extended class of hyperbolic systems of conservation laws, Arch. Rational Mech. Anal. 32 (1969), 169–189. MR 236527, DOI 10.1007/BF00247508
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 353-356
- MSC: Primary 35L65
- DOI: https://doi.org/10.1090/S0002-9939-1973-0430545-3
- MathSciNet review: 0430545