The global attractor of the nonautonomous \(2D\) Navier-Stokes system with singularly oscillating external force

DOI10.1134/S1064562407020160zbMath1166.35310MaRDI QIDQ2518814

Mark I. Vishik, Vladimir V. Chepyzhov

Publication date: 19 January 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Leray projector

Mathematics Subject Classification ID

Attractors (35B41) Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

Pullback attractors of 2D Navier-Stokes equations with weak damping and continuous delay ⋮ Pullback attractors of 2D Navier-Stokes equations with weak damping, distributed delay, and continuous delay ⋮ Upper semicontinuous property of uniform attractors for the 2D nonautonomous Navier-Stokes equations with damping

Cites Work

• Averaging in infinite dimensions
• Infinite-dimensional dynamical systems in mechanics and physics
• Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homo\-genization.
• Averaging of trajectory attractors of evolution equations with rapidly oscillating terms
• Averaging principle for dissipative dynamical systems with rapidly oscillating right-hand sides
• Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems
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