Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Stability of Jin-Xin relaxation shocks


Author: Jeffrey Humpherys
Journal: Quart. Appl. Math. 61 (2003), 251-263
MSC: Primary 35L60; Secondary 35B35, 35L67
DOI: https://doi.org/10.1090/qam/1976368
MathSciNet review: MR1976368
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Abstract: We examine the spectrum of shock profiles for the Jin-Xin relaxation scheme for systems of hyperbolic conservation laws in one spatial dimension. By using a weighted norm estimate, we prove that these shock profiles exhibit strong spectral stability in the weak shock limit.


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DOI: https://doi.org/10.1090/qam/1976368
Article copyright: © Copyright 2003 American Mathematical Society


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