Regularity criterion via the pressure on weak solutions to the 3D Navier-Stokes equations

DOI10.1090/S0002-9939-06-08663-1zbMath1126.35047MaRDI QIDQ3430191

Zhifei Zhang, Qiong Lei Chen

Publication date: 21 March 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Besov spacesLeray-Hopf solutionPaley-Littlewood decomposition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (20)

Logarithmic improvement of regularity criteria for the Navier-Stokes equations in terms of pressure ⋮ Pressure regularity criteria of the three-dimensional micropolar fluid flows ⋮ On the regularity criteria for the 3D magneto-micropolar fluids in terms of one directional derivative ⋮ Remarks on the regularity criterion of the 3D micropolar fluid flows in terms of the pressure ⋮ Remark on a regularity criterion in terms of pressure for the 3D inviscid Boussinesq-Voigt equations ⋮ Logarithmically improved extension criteria involving the pressure for the Navier–Stokes equations in Rn$\mathbb {R}^{n}$ ⋮ Regularity criterion in terms of \textit{BMO}-type norm of the pressure gradient for the Navier-Stokes equations on unbounded domains ⋮ Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations ⋮ On the pressure regularity criterion of the 3D Navier-Stokes equations ⋮ Blowup criteria in terms of pressure for the 3D nonlinear dissipative system modeling electro-diffusion ⋮ Logarithmical regularity criteria of the three-dimensional micropolar fluid equations in terms of the pressure ⋮ Unnamed Item ⋮ Regularity of Navier-Stokes flows with bounds for the pressure ⋮ Logarithmical regularity criterion of the three-dimensional Boussinesq equations in terms of the pressure ⋮ A new Prodi-Serrin type regularity criterion in velocity directions ⋮ On Prodi-Serrin type conditions for the 3D Navier-Stokes equations ⋮ Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure ⋮ On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations ⋮ A remark on the logarithmically improved regularity criterion for the micropolar fluid equations in terms of the pressure ⋮ An improved pressure regularity criterion of magnetohydrodynamic equations in critical Besov spaces

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