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Far field behavior of solutions to the equations of nonlinear 1-D- thermoelasticity. (English) Zbl 0672.35011
We investigate the far field behavior of solutions to the Cauchy problem in one-dimensional nonlinear thermoelasticity. We make use of the far field behavior of solutions of the linearized equations which is obtained by the Fourier transform, the local-global existence, and the energy and decay estimates of solutions of the nonlinear equations to obtain the desired results.
Reviewer: S.Jiang

MSC:
35G25 Initial value problems for nonlinear higher-order PDEs
35B40 Asymptotic behavior of solutions to PDEs
74F05 Thermal effects in solid mechanics
74A15 Thermodynamics in solid mechanics
35Q99 Partial differential equations of mathematical physics and other areas of application
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