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.
This paper deals with the existence and uniqueness of global solutions and uniform stabilization of the energy of initial‐boundary value problems for quasilinear equations of the Kirchhoff type. The asymptotic stabilization of the solutions of these problems are obtained without any dissipative mechanism acting on the displacement variable.
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