Remarks on the Navier-Stokes evolution equations under slip type boundary conditions with linear friction

DOI10.4171/PM/1790zbMath1152.35085OpenAlexW2055653745MaRDI QIDQ2479749

Hugo Beirão da Veiga

Publication date: 3 April 2008

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1790

zbMATH Keywords

regularitylinear frictionNavier-Stokes evolution equationsslip type boundary conditions

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 (12)

Global stability of large solutions for the Navier-Stokes equations with Navier boundary conditions ⋮ Concerning the \(W^{k,p}\)-inviscid limit for 3-D flows under a slip boundary condition ⋮ Stokes and Navier-Stokes equations with Navier boundary conditions ⋮ A pressure associated with a weak solution to the Navier-Stokes equations with Navier's boundary conditions ⋮ The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions ⋮ Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes ⋮ Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations ⋮ Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation ⋮ Semigroup theory for the Stokes operator with Navier boundary condition on \(L^p\) spaces ⋮ Global regularity and stability of solutions to the 3D double-diffusive convection system with Navier boundary conditions ⋮ On a two components condition for regularity of the 3D Navier-Stokes equations under physical slip boundary conditions on non-flat boundaries ⋮ Navier-Stokes equations under slip boundary conditions: lower bounds to the minimal amplitude of possible time-discontinuities of solutions with two components in \(L^{\infty} (L^3)\)

Cites Work

• Regularity of solutions to a non homogeneous boundary value problem for general Stokes systems in \(\mathbb R^n_+\)
• On a boundary value problem for a stationary system of Navier-Stokes equations
• Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions
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