Global regularity of the three-dimensional fractional micropolar equations

DOI10.1007/s00021-020-0490-xzbMath1434.35122arXiv1903.03220OpenAlexW2920887286MaRDI QIDQ2181664

Jiahong Wu, Dehua Wang, Zhuan Ye

Publication date: 19 May 2020

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03220

zbMATH Keywords

global regularityfractional dissipationmicropolar equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (11)

Well-posedness and large time decay for the 3D micropolar equations with only velocity dissipation ⋮ Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation ⋮ Global regularity of the 3D magneto-micropolar equations with fractional dissipation ⋮ Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation ⋮ Global existence and finite time blow-up for the \(m\)-Laplacian parabolic problem ⋮ Unnamed Item ⋮ Micropolar fluid flow in a thick domain with multiscale oscillating roughness and friction boundary conditions ⋮ Global well-posedness for \(n\)-dimensional magneto-micropolar equations with hyperdissipation ⋮ Global regularity of three-dimensional incompressible magneto-micropolar fluid equations with damping ⋮ Well-posedness of the surface wave problem for two dimensional micropolar fluids ⋮ Global well-posedness for the 3D magneto-micropolar equations with fractional dissipation

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