Convergence rates to travelling waves for a nonconvex relaxation model

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Original languageEnglish
Pages (from-to)1053-1068
Journal / PublicationRoyal Society of Edinburgh - Proceedings A
Issue number5
Publication statusPublished - 1998


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].