On the regularity up to the boundary in the theory of the Navier-Stokes equations with generalized impermeability conditions

DOI10.1016/j.crma.2004.10.016zbMath1062.35072OpenAlexW2073240879MaRDI QIDQ1763525

Patrick Penel, Jiří Neustupa

Publication date: 22 February 2005

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.2004.10.016

zbMATH Keywords

weak solutioneigenvaluevelocity gradientinterior regularityimpermeability boundary conditions

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)

Related Items (3)

On regularity of a weak solution to the Navier-Stokes equation with generalized impermeability boundary conditions ⋮ A new boundary condition for the Hall-magnetohydrodynamics equation with the ion-slip effect ⋮ On viscous incompressible flows of nonsymmetric fluids with mixed boundary conditions

Cites Work

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• On regularity of a weak solution to the Navier-Stokes equation with generalized impermeability boundary conditions
• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier--Stokes equations.
• On the Navier-Stokes equation with boundary conditions based on vorticity

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