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Convergence rates to travelling waves for a nonconvex relaxation model

Published online by Cambridge University Press:  14 November 2011

Ming Mei  and
Tong Yang
Ming Mei
Affiliation:
Department of Computational Science, Faculty of Science, Kanazawa University, Kakuma-machi, Kanazawa 920-1192, Japan, e-mail: mei@kappa.s.kanazawa-u.ac.jp
Tong Yang
Affiliation:
Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, e-mail: matyang@math.cityu.edu.hk
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Abstract

In this paper we study the asymptotic behaviour of the solution for a nonconvex relaxation model. The time decay rates in both the exponential and algebraic forms of the travelling wave solutions are shown by the weighted energy method. Our results develop and improve the stability theory in [8,9].

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 5 , 1998 , pp. 1053 - 1068
Copyright
Copyright © Royal Society of Edinburgh 1998

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