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

Reinhard Racke, Yoshihiro Shibata

Research output: Contribution to journalArticle

47 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 languageEnglish
Pages (from-to)1-34
Number of pages34
JournalArchive for Rational Mechanics and Analysis
Volume116
Issue number1
DOIs
Publication statusPublished - 1991 Mar
Externally publishedYes

Fingerprint

Global Smooth Solution
Thermoelasticity
Smooth Solution
Asymptotic stability
Asymptotic Stability
Global Existence
Dirichlet Boundary Conditions
Asymptotic Behavior
Boundary conditions
Configuration

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Mathematics(all)
  • Mechanics of Materials
  • Computational Mechanics

Cite this

Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity. / Racke, Reinhard; Shibata, Yoshihiro.

In: Archive for Rational Mechanics and Analysis, Vol. 116, No. 1, 03.1991, p. 1-34.

Research output: Contribution to journalArticle

@article{c0a6d3636470428ea8f7e5a1b5f86726,
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",
month = "3",
doi = "10.1007/BF00375601",
language = "English",
volume = "116",
pages = "1--34",
journal = "Archive for Rational Mechanics and Analysis",
issn = "0003-9527",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity

AU - Racke, Reinhard

AU - Shibata, Yoshihiro

PY - 1991/3

Y1 - 1991/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0026300120&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026300120&partnerID=8YFLogxK

U2 - 10.1007/BF00375601

DO - 10.1007/BF00375601

M3 - Article

AN - SCOPUS:0026300120

VL - 116

SP - 1

EP - 34

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

SN - 0003-9527

IS - 1

ER -