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Remarks on the Stability of Shock Profiles for Conservation Laws with Dissipation
Robert L. Pego
Transactions of the American Mathematical Society
Vol. 291, No. 1 (Sep., 1985), pp. 353-361
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/1999914
Page Count: 9
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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 ratesof decay are not to be expected for perturbations of shock profiles in typical norms.
Transactions of the American Mathematical Society © 1985 American Mathematical Society