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Asymptotic stability of shock profiles for nonconvex convection-diffusion equation

✍ Scribed by Hailiang Liu

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
278 KB
Volume
10
Category
Article
ISSN
0893-9659

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✦ Synopsis

Communicated by D. Serre

Abstract--The asymptotic stability of shock profiles is proved for a nonconvex convectiondiffusion equation by using weighted energy estimates for the integrated equation. The key of our proofs is to employ a weight function depending on the shock profile in energy estimates. The time decay rate is also obtained.

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