On the Inviscid Limit of the 3D Navier-Stokes Equations with Generalized Navier-slip Boundary Conditions

2013/01/04 by Yuelong Xiao, Zhouping Xin, Xiao, Yuelong +1
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1301.0693

openalex publication_date 2013/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the vanishing viscosity limit problem for the 3-dimensional (3D) incompressible Navier-Stokes equations in a general bounded smooth domain of R³ with the generalized Navier-slip boundary conditions (\refVSg). Some uniform estimates on rates of convergence in C([0,T],L²(Ω)) and C([0,T],H¹(Ω)) of the solutions to the corresponding solutions of the idea Euler equations with the standard slip boundary condition are obtained.

Citations

• Nonstationary flows of viscous and ideal fluids in R3

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