Remarks on the stability of shock profiles for conservation laws with dissipation
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- by Robert L. Pego PDF
- Trans. Amer. Math. Soc. 291 (1985), 353-361 Request permission
Abstract:
Two remarks are made. The first is to establish the stability of monotone shock profiles of the KdV-Burgers equation, based on an energy method of Goodman. The second remark illustrates, specifically in Burgers’ equation, that uniform rates of decay are not to be expected for perturbations of shock profiles in typical norms.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 291 (1985), 353-361
- MSC: Primary 35Q20; Secondary 35L67
- DOI: https://doi.org/10.1090/S0002-9947-1985-0797065-0
- MathSciNet review: 797065