The Global Attractor of Thermoelastic Coupled System

DOI: 10.4236/ijmnta.2012.13015   PDF   HTML     3,052 Downloads   5,651 Views   Citations

Abstract

In this paper, we consider a class of Sine-Gordon equations which arise from the model of the thermoelastic coupled rod. Firstly, by virtue of the classical semigroup theory, we prove the existence and uniqueness of the mild solution under certain initial-boundary value for above-mentioned equations. Secondly, we obtain the boundedness of solutions by the priori estimates. Lastly, we prove the existence of a global attractor.

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Wang, D. and Zhang, J. (2012) The Global Attractor of Thermoelastic Coupled System. International Journal of Modern Nonlinear Theory and Application, 1, 102-106. doi: 10.4236/ijmnta.2012.13015.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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