On a nonlinear thermoelastic system with nonlocal coefficients

This paper deals with the global existence and uniqueness of solutions, and uniform stabilization of the energy of an initial–boundary value problem for a thermoelastic system with nonlinear terms of nonlocal kind. The asymptotic stabilization of the energy of system (1.1) is obtained without any di...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2016-01, Vol.433 (1), p.338-354
Main Authors: Clark, H.R., Guardia, R.R.
Format: Article
Language:English
Subjects:
Global existence
Nonlinear thermoelastic system
Uniqueness and uniform stabilization
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Summary:This paper deals with the global existence and uniqueness of solutions, and uniform stabilization of the energy of an initial–boundary value problem for a thermoelastic system with nonlinear terms of nonlocal kind. The asymptotic stabilization of the energy of system (1.1) is obtained without any dissipation mechanism acting in the displacement variable u of the membrane equation.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2015.07.018