On ratio improvement of Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes system

DOI10.21136/CMJ.2019.0128-18OpenAlexW2966978734MaRDI QIDQ5206467

Yong Zhou, Chupeng Wu, Zujin Zhang

Publication date: 18 December 2019

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2019.0128-18

zbMATH Keywords

Navier-Stokes equationsregularity criteria

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)

Cites Work

• Unnamed Item
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• Navier-Stokes equations with vorticity in Besov spaces of negative regular indices
• On the interior regularity of weak solutions of the Navier-Stokes equations
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity.
• On the singular set and the uniqueness of weak solutions of the Navier- Stokes equations
• Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain
• A new regularity criterion for the Navier-Stokes equations in terms of the direction of vorticity
• A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
• On regularity criteria for the 3D Navier-Stokes equations involving the ratio of the vorticity and the velocity
• On the Navier-Stokes initial value problem. I
• Un teorema di unicita per le equazioni di Navier-Stokes
• Pressure moderation and effective pressure in Navier–Stokes flows
• Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations
• The Three-Dimensional Navier–Stokes Equations
• Direction of vorticity and a new regularity criterion for the Navier-Stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Depletion of nonlinearity in the pressure force driving Navier–Stokes flows
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet