On the regularity criterion for three-dimensional micropolar fluid flows in Besov spaces

DOI10.1016/j.na.2010.06.029zbMath1194.35322OpenAlexW1984861846MaRDI QIDQ988883

Bo-Qing Dong, Wenliang Zhang

Publication date: 19 August 2010

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.2010.06.029

zbMATH Keywords

regularity criterionBesov spacesmicropolar fluid flows

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30)

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The anisotropic integrability logarithmic regularity criterion to the 3D micropolar fluid equations ⋮ Pressure regularity criteria of the three-dimensional micropolar fluid flows ⋮ A note on regularity criterion for the Navier-Stokes equations in terms of the pressure ⋮ An improved regularity criterion for the 3D magneto-micropolar equations in homogeneous Besov space ⋮ \(H^{2}\)-boundedness of the pullback attractor of the micropolar fluid flows with infinite delays ⋮ Remarks on the regularity criterion of the 3D micropolar fluid flows in terms of the pressure ⋮ Unnamed Item ⋮ Existence of solutions for the 3D-micropolar fluid system with initial data in Besov-Morrey spaces ⋮ A regularity criterion for three-dimensional micropolar fluid equations in Besov spaces of negative regular indices ⋮ Remarks on the pressure regularity criterion of the micropolar fluid equations in multiplier spaces ⋮ ON THE REGULARITY CRITERION ON ONE VELOCITY COMPONENT FOR THE MICROPOLAR FLUID EQUATIONS ⋮ note on the regularity criterion for the micropolar fluid equations in homogeneous Besov spaces ⋮ Remarks on the regularity criteria of weak solutions to the three-dimensional micropolar fluid equations ⋮ A note on the regularity criterion of weak solutions of Navier-Stokes equations in Lorentz space ⋮ Logarithmical regularity criteria of the three-dimensional micropolar fluid equations in terms of the pressure ⋮ Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular viscosity ⋮ Blow-up criteria of strong solutions to the 3D micropolar fluid equations with partial viscosities ⋮ A refined regularity criteria of weak solutions to the magneto-micropolar fluid equations ⋮ Blow-up criteria of smooth solutions to the three-dimensional micropolar fluid equations in Besov space ⋮ A new regularity criterion of weak solutions to the 3D micropolar fluid flows in terms of the pressure ⋮ A regularity criterion for 3D micropolar fluid flows in terms of one partial derivative of the velocity ⋮ A remark on the logarithmically improved regularity criterion for the micropolar fluid equations in terms of the pressure ⋮ Pullback exponential attractors for the non-autonomous micropolar fluid flows ⋮ Regularity criterion for the 3D micropolar fluid equations in terms of pressure ⋮ Regularity of weak solutions to the 3D magneto-micropolar equations in Besov spaces

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