Existence of \(H^{2}\)-global attractors of two-dimensional micropolar fluid flows

DOI10.1016/j.jmaa.2005.09.011zbMath1098.35035OpenAlexW1995241381MaRDI QIDQ2506398

Jianwen Chen, Bo-Qing Dong, Zhi Min Chen

Publication date: 28 September 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.09.011

zbMATH Keywords

global attractormicropolar fluidbounded domaintwo-dimensional fluid flow

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35)

Related Items (18)

Asymptotic smoothing effect of solutions of two-dimensional micropolar fluid flows ⋮ Pullback attractors of non-autonomous micropolar fluid flows ⋮ \(H^{2}\)-boundedness of the pullback attractor of the micropolar fluid flows with infinite delays ⋮ On the motion of the 3D compressible micropolar fluids with time periodic external forces ⋮ 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 ⋮ \(H^1\)-uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fluid flow in 2D unbounded domains ⋮ Global attractors for a nonlinear one-dimensional compressible viscous micropolar fluid model ⋮ MICROPOLAR FLUID FLOWS WITH DELAY ON 2D UNBOUNDED 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 upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations ⋮ ON PULLBACK ATTRACTORS IN $H^1_0$ FOR NONAUTONOMOUS REACTION–DIFFUSION EQUATIONS ⋮ Pullback exponential attractors for a class of non-Newtonian micropolar fluids ⋮ Pullback attractor for non-homogeneous micropolar fluid flows in non-smooth domains ⋮ Existence and upper semicontinuity of attractors for a class of non-Newtonian micropolar fluids ⋮ On \(H^1\)-pullback attractors for nonautonomous micropolar fluid equations in a bounded domain ⋮ Pullback exponential attractors for the non-autonomous micropolar fluid flows

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• A note on the existence and uniqueness of solutions of the micropolar fluid equations
• Micropolar fluids. Theory and applications
• Magneto-micropolar fluid motion: Existence of weak solutions
• Long-time behavior of 2D micropolar fluid flows
• Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Magneto-micropolar fluid motion: Global existence of strong solutions
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