A remark on the global regularity for the 3D Navier-Stokes equations

DOI10.1016/j.aml.2016.01.016zbMath1381.35121OpenAlexW2264077345MaRDI QIDQ253938

Chenyin Qian

Publication date: 8 March 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.01.016

zbMATH Keywords

regularity criterionLeray-Hopf weak solution3D Navier-Stokes equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Pullback \(\mathcal{D}\)-attractors for three-dimensional Navier-Stokes equations with nonlinear damping ⋮ A remark on the global regularity criterion for the 3D Navier-Stokes equations based on end-point Prodi-Serrin conditions ⋮ The regularity criterion for the 3D Navier-Stokes equations involving end-point Prodi-Serrin type conditions ⋮ On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity ⋮ note on the regularity criterion for the micropolar fluid equations in homogeneous Besov spaces ⋮ The anisotropic regularity criteria for 3D Navier-Stokes equations involving one velocity component ⋮ Dynamics of weak solutions for the three dimensional Navier-Stokes equations with nonlinear damping ⋮ Unnamed Item ⋮ Pullback exponential attractors for the three dimensional non-autonomous Navier-Stokes equations with nonlinear damping ⋮ Global existence of three-dimensional incompressible magneto-micropolar system with mixed partial dissipation, magnetic diffusion and angular viscosity

Cites Work

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• Remarks on regularity criteria for the Navier-Stokes equations via one velocity component
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• Navier-Stokes equations with regularity in one direction
• On the regularity of the solutions of the Navier–Stokes equations via one velocity component
• One component regularity for the Navier–Stokes equations
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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