\(H^2\)-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains

DOI10.1016/j.na.2011.04.063zbMath1221.35070OpenAlexW2047772695MaRDI QIDQ550245

Pedro Marín-Rubio, Julia García-Luengo, José Real

Publication date: 8 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.04.063

zbMATH Keywords

invariant sets\(H^{2}\)-regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Attractors (35B41) Navier-Stokes equations (35Q30)

Related Items (10)

Regularity of pullback attractors and attraction in \(H^1\) in arbitrarily large finite intervals for 2D Navier-Stokes equations with infinite delay ⋮ Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing ⋮ \(H^{2}\)-boundedness of the pullback attractor of the micropolar fluid flows with infinite delays ⋮ Pullback attractors for strong solutions of 2d non-autonomous \(g\)-Navier-Stokes equations ⋮ The boundedness and upper semicontinuity of the pullback attractors for a 2D micropolar fluid flows with delay ⋮ \(H^2\)-boundedness of the pullback attractor for the non-autonomous SIR equations with diffusion ⋮ Regularity results and exponential growth for pullback attractors of a non-autonomous reaction-diffusion model with dynamical boundary conditions ⋮ \(H^4\)-boundedness of pullback attractor for a 2D non-Newtonian fluid flow ⋮ Pullback attractors in \(V\) for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour ⋮ Some new regularity results of pullback attractors for 2D Navier-Stokes equations with delays

Cites Work

• Pullback attractors for non-autonomous 2D-Navier--Stokes equations in some unbounded domains
• On the relation between two different concepts of pullback attractors for non-autonomous dynamical systems
• \(H^{2}\)-boundedness of the pullback attractor for a non-autonomous reaction-diffusion equation
• Comportement à l'infini des solutions des équations de Navier-Stokes et propriété des ensembles fonctionnels invariants (ou attracteurs)
• Infinite-dimensional dynamical systems in mechanics and physics.
• Pullback attractors for asymptotically compact non-autonomous dynamical systems
• PULLBACK ATTRACTORS OF NONAUTONOMOUS SEMIDYNAMICAL SYSTEMS
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