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Long-time dynamics for a nonlinear Timoshenko system with delay

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This paper is concerned with a nonlinear Timoshenko system with a time delay term in the internal feedback together with initial data and Dirichet boundary conditions. Under some suitable assumptions… Click to show full abstract

This paper is concerned with a nonlinear Timoshenko system with a time delay term in the internal feedback together with initial data and Dirichet boundary conditions. Under some suitable assumptions on the weights of feedback, we obtain the existence of a global attractor with finite fractal dimension for the case of equal speed wave propagation. Furthermore, the existence of exponential attractors is also derived.

Keywords: timoshenko system; long time; nonlinear timoshenko

Journal Title: Applicable Analysis
Year Published: 2017

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