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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Mat. Fiz. Anal. Geom., 2005 Volume 12, Number 2, Pages 203–217 (Mi jmag183)

Global attractor for nonlinear Mindlin-type plates thermoelasticity

T. Fastovska

Department of Mechanics and Mathematics, V.N. Karazin National University, 4 Svobody Sq., Kharkov, 61077, Ukraine

Abstract: A nonlinear initial-boundary value problem with Dirichlet boundary conditions for thermoelastic Mindlin-type plates dynamics equations is considered. It is shown that weak solutions converge asymptotically to a compact global finite-dimensional attractor.

MSC: 35B41, 35B35

Received: 19.04.2004

Language: English



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