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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
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