Long-time dynamics ofN-dimensional structure equations with thermal memory
نویسندگان
چکیده
This system arises from a model of the nonlinear thermoelastic coupled vibration structure with the clamped ends for simultaneously considering the medium damping, the viscous effect and the nonlinear constitutive relation and thermoelasticity based on a theory of non-Fourier heat flux laws. By considering the case where the internal (structural) damping is present, for 0≤ ι < 1, we show that the thermal source term f2(θ ) is crucial to stabilizing the system and guarantees the existence of a global attractor for the above mentioned system in the present method.
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