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Global existence of smooth solutions in one-dimensional nonlinear thermoelasticity

Published online by Cambridge University Press:  14 November 2011

Song Jiang
Song Jiang
Affiliation:
Institut für Angewandte Mathematik der Universität Bonn, Wegelerstrasse 10, D-5300 Bonn 1, B.R.D., and Department of Mathematics, Xi'an Jiaotong University, Xi'an, Shaanxi Province, P.R.China
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Synopsis

We consider the initial boundary value problem for the equations of one-dimensional nonlinear thermoelasticity in ℝ+; and prove a global existence-uniqueness theorem for small smooth data. The asymptotic behaviour is simultaneously obtained.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 115 , Issue 3-4 , 1990 , pp. 257 - 274
Copyright
Copyright © Royal Society of Edinburgh 1990

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