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Decay rates for the solutions of model equations for bore propagation
Published online by Cambridge University Press: 14 November 2011
Abstract
We study the large-time behaviour of solutions to the Korteweg-de Vries-Burgers equation with bore-like initial data. This work relies on the methods of Amick, Bona and Schonbeck to obtain sharp rates of temporal decay of certain norms of the solution, thus obtaining an improvement over results of Naumkin and Shishmarev.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 2 , 1995 , pp. 371 - 398
- Copyright
- Copyright © Royal Society of Edinburgh 1995
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