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.
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Communicated by D. R. Owens
Dedicated to Professor Rolf Leis and to Proffessor Mutsuhide Matsumura on the occasion of their sixtieth birthdays in 1991
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Racke, R., Shibata, Y. Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity. Arch. Rational Mech. Anal. 116, 1–34 (1991). https://doi.org/10.1007/BF00375601
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DOI: https://doi.org/10.1007/BF00375601