\(H^1\)-uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fluid flow in 2D unbounded domains

DOI10.1016/j.nonrwa.2006.12.005zbMath1192.37105OpenAlexW2037223211MaRDI QIDQ924612

Caidi Zhao, Shengfan Zhou, Xinze Lian

Publication date: 16 May 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.12.005

zbMATH Keywords

unbounded domainsuniform attractormicropolar fluid flowasymptotic smoothing effect

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (10)

\(H^{2}\)-boundedness of the pullback attractor of the micropolar fluid flows with infinite delays ⋮ Using trajectory attractor to construct trajectory statistical solution for the 3D incompressible micropolar flows ⋮ The boundedness and upper semicontinuity of the pullback attractors for a 2D micropolar fluid flows with delay ⋮ Global attractors for a nonlinear one-dimensional compressible viscous micropolar fluid model ⋮ MICROPOLAR FLUID FLOWS WITH DELAY ON 2D UNBOUNDED DOMAINS ⋮ Long-time behavior of micropolar fluid equations in cylindrical domains ⋮ Pullback attractor for the 2D micropolar fluid flows with delay on unbounded domains ⋮ Random attractors for 2D stochastic micropolar fluid flows on unbounded domains ⋮ On \(H^1\)-pullback attractors for nonautonomous micropolar fluid equations in a bounded domain ⋮ Pullback exponential attractors for the non-autonomous micropolar fluid flows

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