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Asymptotic behaviour of a thermoelastic plate of weakly hyperbolic type. (English) Zbl 0980.74037

Summary: We consider an initial-boundary value problem for a thermoelastic plate. Results on existence, uniqueness and asymptotic stability of solutions are obtained as a consequence of dissipative properties of the plate material. By using suitable multiplicative techniques, we show the exponential decay of the energy.

MSC:

74K20 Plates
74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics
74H20 Existence of solutions of dynamical problems in solid mechanics
35Q72 Other PDE from mechanics (MSC2000)
74F05 Thermal effects in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
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