ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE SYSTEM OFONE-DIMENSIONAL NONLINEAR THERMOVISCOELASTICITY

Citation:

Hsiao Ling,Jian Huaiyu.ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE SYSTEM OFONE-DIMENSIONAL NONLINEAR THERMOVISCOELASTICITY[J].Chinese Annals of Mathematics B,1998,19(2):143~152
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Authors:

Hsiao Ling; Jian Huaiyu

Foundation:

Project supported by the National Natural Science Foundation of China.
Abstract: The authors study the large-time behaviour of global smooth solutions to initial-boundary value problems for the system of one-dimensional nonlinear thermoviscoelasticity. It is found that the solution may possess phase transition phenomena when the material is not monotone, and the solution may decay to a stable state for the monotone case.

Keywords:

Asymptotic behavior, Nonlinear thermoviscoelasticity, Initial boundary value problem

Classification:

35L60
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