Attractor for a composite system of nonlinear wave and thermoelastic plate equations

Authors

DOI:

https://doi.org/10.26565/2221-5646-2014-1133-01

Keywords:

acoustic model, attractor, upper semi-continuity

Abstract

We prove the existence of a compact finite dimensional global attractor for a coupled PDE system comprising a nonlinearly damped semilinear wave equation and a thermoelastic Mindlin-Timoshenko plate system with nonlinear viscous damping. We show the upper semi-continuity of the attractor with respect to the parameters related to the coupling terms and the shear modulus of the plate.

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Published

2014-12-20

Issue

No. 1133 (2014)

Section

Статті

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How to Cite

Attractor for a composite system of nonlinear wave and thermoelastic plate equations. (2014). Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, 1133, 4-35. https://doi.org/10.26565/2221-5646-2014-1133-01