The asymptotic behavior of classical solutions to the mixed initial-boundary value problem in finite thermo-viscoelasticity-Reference-Cited by-同舟云学术

The asymptotic behavior of classical solutions to the mixed initial-boundary value problem in finite thermo-viscoelasticity

Published:1988 Issue:2 Volume:46 Page:319-329
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Beevers C. E.,Šilhavý M.

Abstract

In this paper we consider the asymptotic stability of a class of solutions to the mixed initial-boundary value problem in nonlinear thermo-viscoelasticity. The continuum model is a viscoelastic material of rate type with the thermal conduction obeying Fourier’s law. The work in this article generalizes in two ways the results obtained by the present authors in a previous paper [1], The results in this present paper are valid for nonisothermal conditions and for a genuinely nonlinear viscous stress.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1988-46-02/S0033-569X-1988-0950605-8/S0033-569X-1988-0950605-8.pdf

Reference11 articles.

1. Asymptotic stability in nonlinear viscoelasticity;Beevers, C. E.;Quart. Appl. Math.,1984

2. Can dissipation prevent the breaking of waves?;Dafermos, Constantine M.,1981

3. On the damped nonlinear evolution equation 𝑤_{𝑡𝑡}=𝜎(𝑤)ₓₓ-𝑦𝑤_{𝑡};Bloom, Frederick;J. Math. Anal. Appl.,1983

4. Damped conservation laws in continuum mechanics;Slemrod, M.,1979

5. Asymptotic stability in nonlinear elastic materials with dissipation;Beevers, C. E.;J. Elasticity,1988

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