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

Mat. Fiz. Anal. Geom., 2005 Volume 12, Number 2, Pages 173–186 (Mi jmag181)

This article is cited in 5 papers

On a retarded PDE system for a von Karman plate with thermal effects in the flow of gas

I. Ryzhkova

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

Abstract: We prove existence of a compact global attractor of finite fractal dimension and existence of a finite set of asymptotically determining functionals for a retarded PDE system for a von Kármán plate with thermal effects in the flow of gas. Moreover, we show that asymptotical dynamics of the entire system is determined by the dynamics of the single component $u$, which describes displacement of the plate.

MSC: 35B40, 35B41, 35L70

Received: 21.04.2004

Language: English



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024