Inviscid limits for the Navier–Stokes equations with Navier friction boundary conditions

By Dragos Iftimie, G. Planas. 2006

138 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/4cc92b1f52bfe02b0b965b06bfa23f5a205529b1

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In Applied Mathematics

In Computational Mechanics

Citations in the corpus

Concerning the Wk,p-Inviscid Limit for 3-D Flows Under a Slip Boundary Condition (2011, unknown): “Concerning this last problem in bounded domains, under slip boundary conditions, we refer to [9, 21 ,42] and references therein.”
Boundary layer associated with the Darcy–Brinkman–Boussinesq model for convection in porous media (2011, background): “There is an abundant literature on boundary layer associated with incompressible flows and the related question of vanishing viscosity (see for instance [2, 6, 46, 47, 9, 39, 14, 22, 45, 19, 20, 7, 27, 68, 30, 3, 4, 32, 29, 65, 1, 66, 21, 55, 56, 51, 53, 54, 59, 23, 8, 25, 18, 26, 18, 26, 37, 5, 15,”
Vanishing Viscous Limits for 3D Navier–Stokes Equations with a Navier-Slip Boundary Condition (2012, background): “[8], Lopes Filho, Nussenveig Lopes and Planas [19] obtained that the solution uν to (1.1) converges to the solution u0 of Euler equations in L∞(0, T ;L2(R2+)) assuming that initial vorticity is uniformly bounded.”
On the Inviscid Limit for the Compressible Navier–Stokes System in an Impermeable Bounded Domain (2012, unknown): “In the results [23, 22, 28, 2, 37] there is also a comparison between a weak and a strong solution but the word “solution” does not not refer to the same equation.”
Uniform Regularity for the Navier–Stokes Equation with Navier Boundary Condition (2010, background): “2) converges towards a solution of the Euler equation, we refer to [1], [7], [20], [15].”
Viscous boundary layers for the Navier–Stokes equations with the Navier slip conditions (2011, background): “These estimates improve the results of [24] in 2d and the one of [17] in both 2d and 3d.”