Upper semicontinuous attractors for a 2D Mindlin–Timoshenko thermo-viscoelastic model with memory

Abstract A nonlinear problem for a thermo-viscoelastic Mindlin–Timoshenko plate with hereditary heat conduction is considered here. We prove the existence of a compact global attractor whose fractal dimension is finite. The main aim of the work is to show the upper semicontinuity of the attractor as the relaxation kernels fade in a suitable sense.

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