Differential and Integral Equations
- Differential Integral Equations
- Volume 12, Number 1 (1999), 1-22.
Exponential attractors for nonautonomous partially dissipative equations
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  and based on a decomposition of the difference of two trajectories. We follow the ideas developed in  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.
Differential Integral Equations, Volume 12, Number 1 (1999), 1-22.
First available in Project Euclid: 29 April 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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]
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