The existence of global attractors for 2D Navier-Stokes equations in \(H^k\) spaces

DOI10.1007/s10114-008-6594-5zbMath1179.35068OpenAlexW2064509553MaRDI QIDQ1034222

Tian Ma, Ling Yu Song, Yin Di Zhang

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6594-5

zbMATH Keywords

Navier-Stokes equationsglobal attractorsemigroup of operatoriteration techniqueregularity estimatesregularity of attractor

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Navier-Stokes equations (35Q30)

Related Items (3)

Regularity of global attractor for atmospheric circulation equations with humidity effect ⋮ Uniform regularity of the weak solution to higher-order Navier-Stokes-Cahn-Hilliard systems ⋮ The well-posedness and the regularity of global attractor for a couple stress fluid through porous layer with the local thermal non-equilibrium effect

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
• Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces
• Some global dynamical properties of a class of pattern formation equations
• Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
• Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
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