Non-autonomous 2D Navier-Stokes system with singularly oscillating external force and its global attractor

DOI10.1007/s10884-007-9077-yzbMath1132.35017OpenAlexW2154931590MaRDI QIDQ2465124

Vladimir V. Chepyzhov, Mark I. Vishik

Publication date: 19 December 2007

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-007-9077-y

zbMATH Keywords

limiting problemtranslation compact functions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (24)

Non-autonomous 2D Newton-Boussinesq equation with oscillating external forces and its uniform attractor ⋮ ``Strange term in homogenization of attractors of reaction-diffusion equation in perforated domain ⋮ Non-autonomous 3D Brinkman-Forchheimer equation with singularly oscillating external force and its uniform attractor ⋮ On the convergence of the uniform attractor for the 2D Leray-\(\alpha\) model ⋮ Averaging of equations of viscoelasticity with singularly oscillating external forces ⋮ Homogenization of trajectory statistical solutions for the 3D incompressible magneto-micropolar fluids ⋮ On asymptotics of attractors of the Navier-Stokes system in anisotropic medium with small periodic obstacles ⋮ Averaging principle for multiscale nonautonomous random 2D Navier-Stokes system ⋮ Averaging of the planetary 3D geostrophic equations with oscillating external forces ⋮ Pullback attractors for a non-autonomous homogeneous two-phase flow model ⋮ Averaging of a multi-layer quasi-geostrophic equations with oscillating external forces ⋮ A non-autonomous two-phase flow model with oscillating external force and its global attractor ⋮ Weak convergence of attractors of reaction–diffusion systems with randomly oscillating coefficients ⋮ Navier-Stokes-Voigt equations with memory in 3D lacking instantaneous kinematic viscosity ⋮ Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force ⋮ Averaging of nonautonomous damped wave equations with singularly oscillating external forces ⋮ Non-autonomous planetary 3D geostrophic equations with oscillating external force and its global attractor ⋮ Attractors for non-autonomous parabolic problems with singular initial data ⋮ Pullback attractors for closed cocycles ⋮ Pullback attractors for the multi-layer quasi-geostrophic equations of the Ocean ⋮ Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms ⋮ Dynamical behaviour of non-autonomous 2D Navier–Stokes equations with singularly oscillating external force ⋮ Averaging principles for stochastic 2D Navier-Stokes equations ⋮ Averaging of a 3D primitive equations with oscillating external forces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Integral manifolds and attractors with exponential rate for nonautonomous hyperbolic equations with dissipation
• Averaging in infinite dimensions
• Infinite-dimensional dynamical systems in mechanics and physics
• On the fractal dimension of invariant sets: Applications to Navier-Stokes equations.
• On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging
• 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
• Approximation of trajectories lying on a global attractor of a hyperbolic equation with exterior force rapidly oscillating in time
• Dynamics of evolutionary equations

This page was built for publication: Non-autonomous 2D Navier-Stokes system with singularly oscillating external force and its global attractor