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Asymptotic behaviour of weak solutions to a boundary value problem for dynamic viscoelastic equations with memory

Published online by Cambridge University Press:  14 November 2011

Jin Liang  and
Qin Tiehu
Jin Liang
Affiliation:
Department of Mathematics, Heriot-Watt University, Edinburgh EH14/4AS, Scotland, U.K.
Qin Tiehu
Affiliation:
Department of Mathematics, Fudan University, Shanghai 200433, P.R. of China
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Abstract

The paper discusses the asymptotic behaviour of weak solutions u(t, x), as t → ∞, to the boundary value problem for one-dimensional viscoelastic equations with singular memory. The changes of phase are admitted for the problem. One of our results is that ut(t, ·)⇀0 weakly in L2(0,1) as t → ∞.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 1 , 1995 , pp. 153 - 164
Copyright
Copyright © Royal Society of Edinburgh 1995

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