Differential and Integral Equations

Exponential attractors for nonautonomous partially dissipative equations

C. Galusinski, M. Hnid, and A. Miranville

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Abstract

Our aim in this article is to construct exponential attractors for nonautonomous partially dissipative systems by adapting to the nonautonomous case the method presented in [1] and based on a decomposition of the difference of two trajectories. We follow the ideas developed in [2] which consist in studying an equation on an extended space. As an example, we prove the existence of exponential attractors for the slightly compressible Navier-Stokes equations with quasiperiodic in time volume forces.

Article information

Source
Differential Integral Equations, Volume 12, Number 1 (1999), 1-22.

Dates
First available in Project Euclid: 29 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367266991

Mathematical Reviews number (MathSciNet)
MR1668525

Zentralblatt MATH identifier
1012.35010

Subjects
Primary: 35K55: Nonlinear parabolic equations
Secondary: 34G20: Nonlinear equations [See also 47Hxx, 47Jxx] 35B40: Asymptotic behavior of solutions 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 47H20: Semigroups of nonlinear operators [See also 37L05, 47J35, 54H15, 58D07] 58F39 76D05: Navier-Stokes equations [See also 35Q30]

Citation

Galusinski, C.; Hnid, M.; Miranville, A. Exponential attractors for nonautonomous partially dissipative equations. Differential Integral Equations 12 (1999), no. 1, 1--22. https://projecteuclid.org/euclid.die/1367266991


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