Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity

Reinhard Racke; Yoshihiro Shibata

doi:10.1007/BF00375601

Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity

Reinhard Racke^*, Yoshihiro Shibata

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

53 Citations (Scopus)

Abstract

The global existence of smooth solutions to the equations of nonlinear thermoelasticity is shown for a one-dimensional homogeneous reference configuration. Dirichlet boundary conditions are studied and the asymptotic behaviour of the solutions as t→∞ is described.

Original language	English
Pages (from-to)	1-34
Number of pages	34
Journal	Archive for Rational Mechanics and Analysis
Volume	116
Issue number	1
DOIs	https://doi.org/10.1007/BF00375601
Publication status	Published - 1991 Mar 1
Externally published	Yes

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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10.1007/BF00375601

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title = "Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity",

abstract = "The global existence of smooth solutions to the equations of nonlinear thermoelasticity is shown for a one-dimensional homogeneous reference configuration. Dirichlet boundary conditions are studied and the asymptotic behaviour of the solutions as t→∞ is described.",

author = "Reinhard Racke and Yoshihiro Shibata",

year = "1991",

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AU - Shibata, Yoshihiro

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Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity

Abstract

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