A regularity criterion for 3D Navier-Stokes equations via one component of velocity and vorticity

DOI10.1007/s11565-017-0274-2zbMath1386.35330OpenAlexW2594485984MaRDI QIDQ1690132

Myong-Hwan Ri

Publication date: 18 January 2018

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-017-0274-2

zbMATH Keywords

Navier-Stokes equationsglobal regularity

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30)

Related Items (1)

Helicity and regularity of weak solutions to 3D Navier-Stokes equations

Cites Work

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• A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
• Two new regularity criteria for the 3D Navier-Stokes equations via two entries of the velocity gradient tensor
• Regularity criterion via two components of vorticity on weak solutions to the Navier-Stokes equations in \(\mathbb R^3\).
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Regularity of a Weak Solution to the Navier--Stokes Equations via One Component of a Spectral Projection of Vorticity

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