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

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
Cited
How to Cite
Fastovska, T. B. (2014). Attractor for a composite system of nonlinear wave and thermoelastic plate equations. 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
Issue
No. 1133 (2014)
Section
Статті

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