A local regularity condition involving two velocity components of Serrin-type for the Navier-Stokes equations

DOI10.1016/j.crma.2015.10.020zbMath1359.35123OpenAlexW2282353319MaRDI QIDQ512343

Hyeong-Ohk Bae, Joerg Wolf

Publication date: 24 February 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.10.020

zbMATH Keywords

regularityweak solutionsNavier-Stokes equationSerrin-type condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)

Related Items (9)

Sufficient conditions for local regularity to the generalized Newtonian fluid with shear thinning viscosity ⋮ On the extension to slip boundary conditions of a Bae and Choe regularity criterion for the Navier-Stokes equations. the half-space case ⋮ Regularity of the 3D Navier-Stokes equations with viewpoint of 2D flow ⋮ Some interior regularity criteria involving two components for weak solutions to the 3D Navier-Stokes equations ⋮ Unnamed Item ⋮ On the Serrin-type condition on one velocity component for the Navier-Stokes equations ⋮ Some regularity criteria of a weak solution to the 3D Navier-Stokes equations in a domain ⋮ On a two components condition for regularity of the 3D Navier-Stokes equations under physical slip boundary conditions on non-flat boundaries ⋮ Regularity criteria for Navier-Stokes equations with slip boundary conditions on non-flat boundaries via two velocity components

Cites Work

• On the interior regularity of weak solutions of the Navier-Stokes equations
• On the Stokes problem in Lipschitz domains
• A new regularity criterion for the Navier-Stokes equations in terms of the gradient of one velocity component.
• On the local regularity of suitable weak solutions to the generalized Navier-Stokes equations
• The initial value problem for the Navier-Stokes equations with data in L\(^p\)
• On partial regularity results for the navier-stokes equations
• A Regularity Criterion for the Navier–Stokes Equations
• On the Interior Regularity of Suitable Weak Solutions to the Navier–Stokes Equations
• One component regularity for the Navier–Stokes equations
• On the smoothness of a class of weak solutions to the Navier-Stokes equations
• An interior regularity criterion for an axially symmetric suitable weak solution to the Navier-Stokes equations
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