Far field behavior of solutions to the equations of nonlinear 1-D-Thermoelasticity

Abstract

In this paper 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.

Keywords:

• Nonlinear thermoelasticity
• the Fourier transform
• far field behavior

AMS(MOS):

• 35Q99
• 73C25