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On a nonlinear thermoelastic system with nonlocal coefficients. (English) Zbl 1327.35071
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 is obtained without any dissipation mechanism acting in the displacement variable $$u$$ of the membrane equation.

##### MSC:
 35G61 Initial-boundary value problems for systems of nonlinear higher-order PDEs 74F05 Thermal effects in solid mechanics 35B40 Asymptotic behavior of solutions to PDEs 35A01 Existence problems for PDEs: global existence, local existence, non-existence 35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
##### Keywords:
uniform stabilization
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##### References:
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