Local in time strong solvability of the non-steady Navier-Stokes equations with Navier's boundary condition and the question of the inviscid limit

DOI10.1016/j.crma.2010.09.021zbMath1205.35206OpenAlexW2096830987MaRDI QIDQ609378

Jiří Neustupa, Patrick Penel

Publication date: 30 November 2010

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.2010.09.021

zbMATH Keywords

Navier-Stokes equationsstrong solutionsNavier's condition

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)

Related Items (6)

Suitable weak solutions: From compressible viscous to incompressible inviscid fluid flows ⋮ Local in time strong solvability of the non-steady Navier-Stokes equations with Navier's boundary condition and the question of the inviscid limit ⋮ Nematic liquid crystal flow with partially free boundary ⋮ Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation ⋮ Some remarks on the boundary conditions in the theory of Navier-Stokes equations ⋮ Geometric regularity criteria for incompressible Navier-Stokes equations with Navier boundary conditions

Cites Work

• Local in time strong solvability of the non-steady Navier-Stokes equations with Navier's boundary condition and the question of the inviscid limit
• A Navier-Stokes approximation of the 3D Euler equation with the zero flux on the boundary
• On a \(\nu\)-continuous family of strong solutions to the Euler or Navier-Stokes equations with the Navier-type boundary condition
• The Navier-Stokes equations with the kinematic and vorticity boundary conditions on non-flat boundaries
• On the Euler equations of incompressible perfect fluids
• Sharp inviscid limit results under Navier-type boundary conditions. An \(L^p\) theory
• Inviscid limits for the Navier–Stokes equations with Navier friction boundary conditions
• Unnamed Item

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