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

Zh. Mat. Fiz. Anal. Geom., 2011 Volume 7, Number 1, Pages 96–102 (Mi jmag168)

This article is cited in 3 papers

On transmission problem for Berger plates on an elastic base

M. Potomkin

Mathematics Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine

Abstract: A nonlinear transmission problem for a Berger plate on an elastic base is studied. The plate consists of thermoelastic and isothermal parts. The problem generates a dynamical system in a suitable Hilbert space. In the paper the existence of a compact global attractor is proved.

Key words and phrases: transmission problem, thermoelasticity, dynamical systems, attractors.

MSC: 35B41, 35B35

Received: 05.11.2010

Language: English



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