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

Mat. Fiz. Anal. Geom., 1995 Volume 2, Number 3, Pages 363–383 (Mi jmag640)

This article is cited in 2 papers

Global attractors for a class of retgirded quasilinear partial differential equations

I. D. Chueshov, A. V. Rezounenko

Department of Mathematics and Mechanics, Kharkov State University, 4, Svobody Sq., 310077, Kharkov, Ukraine

Abstract: We consider the system of retarded quasilinear partial differential equations which arises in aeroelasticity. The evolution operator is constructed. The existence of the compact global attractor of finite fractal dimension is proved. We study the properties of solutions on the attractor and prove the existence of the fractal exponential attractor.

UDC: 517.958

Received: 13.06.1994

Language: English



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