On viscosity-continuous solutions of the Euler and Navier-Stokes equations with a Navier-type boundary condition

DOI10.1016/j.crma.2009.09.007zbMath1180.35405OpenAlexW2059735849MaRDI QIDQ1032838

Patrick Penel, Hamid Bellout, Jiří Neustupa

Publication date: 5 November 2009

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.2009.09.007

zbMATH Keywords

Navier-Stokes equationsEuler equationsNavier-type boundary conditionviscosity-continuous solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Euler equations (35Q31)

Related Items (9)

Boundary layer analysis of the Navier-Stokes equations with generalized Navier boundary conditions ⋮ Some properties on the surfaces of vector fields and its application to the Stokes and Navier-Stokes problems with mixed boundary conditions ⋮ Boundary layer problem: Navier-Stokes equations and Euler equations ⋮ On \(L^3\)-stability of strong solutions of the Navier-Stokes equations with the Navier-type boundary conditions ⋮ Stokes and Navier-Stokes problems with Navier-type boundary condition in L^p-spaces ⋮ Equatorial wave-current interactions ⋮ The vanishing viscosity limit for some symmetric flows ⋮ On viscosity-continuous solutions of the Euler and Navier-Stokes equations with a Navier-type boundary condition ⋮ Inviscid limit for Navier-Stokes equations in domains with permeable boundaries

Cites Work

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• On the Navier-Stokes equation with boundary conditions based on vorticity
• On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition

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