Pressure representation and boundary regularity of the Navier-Stokes equations with slip boundary condition

DOI10.1016/j.jde.2008.02.039zbMath1143.35078OpenAlexW2030644943MaRDI QIDQ925042

Bum Ja Jin, Hi Jun Choe, Hyeong-Ohk Bae

Publication date: 29 May 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.02.039

zbMATH Keywords

Navier-Stokes equationsslip boundary conditionboundary regularityMoser iterationpressure representationProdi-Ohyama-Serrin-Ladyzhenskaya condition

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (8)

Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations ⋮ On the extension to slip boundary conditions of a Bae and Choe regularity criterion for the Navier-Stokes equations. the half-space case ⋮ On regularity criteria via pressure for the 3D MHD equations in a half space ⋮ Global existence of solutions of the simplified Ericksen-Leslie system in dimension two ⋮ Regularity for the Navier--Stokes equations with slip boundary condition ⋮ Regularity criteria of the magnetohydrodynamic equations in bounded domains or a half space ⋮ A representation of the solution of the Stokes equations in the half space \(\mathbb {R}^{3}_{+}\): application to spatial and temporal estimates of the pressure ⋮ Unnamed Item

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