Uniform Regularity and Vanishing Viscosity Limit for the Compressible Navier--Stokes with General Navier-Slip Boundary Conditions in Three-Dimensional Domains

DOI10.1137/151003520zbMath1332.35303arXiv1501.01718OpenAlexW2963102819MaRDI QIDQ3451744

Yong Wang, Yan Yong, Zhouping Xin

Publication date: 18 November 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01718

zbMATH Keywords

Euler equationsconvergence ratevanishing viscosity limitcompressible Navier-Stokes

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Viscous-inviscid interaction for compressible fluids and gas dynamics (76N17)

Related Items

Uniform regularity for the compressible Navier-Stokes system with low Mach number in domains with boundaries ⋮ Boundary layer problem and combined limits of the two-fluid Navier-Stokes-Poisson system ⋮ Uniform regularity and vanishing dissipation limit for the full compressible Navier-Stokes system in three dimensional bounded domain ⋮ Zero kinematic viscosity-magnetic diffusion limit of the incompressible viscous magnetohydrodynamic equations with Navier boundary conditions ⋮ Asymptotic limit of the Navier-Stokes-Poisson-Korteweg system in the half-space ⋮ Boundary layer problems for the two-dimensional inhomogeneous incompressible magnetohydrodynamics equations ⋮ Vanishing dissipation limit of solutions to initial boundary value problem for three dimensional incompressible magneto-hydrodynamic equations with transverse magnetic field ⋮ Vanishing diffusivity limit for the 3D heat-conductive Boussinesq equations with a slip boundary condition ⋮ Uniform regularity and vanishing viscosity limit for the incompressible non-resistive magneto-micropolar equations ⋮ Linear instability analysis on compressible Navier-Stokes equations with strong boundary layer ⋮ On the inviscid limit of the compressible Navier-Stokes equations near Onsager's regularity in bounded domains ⋮ Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space ⋮ Inviscid limit of compressible viscoelastic equations with the no-slip boundary condition ⋮ Vanishing viscosity limits for the free boundary problem of compressible viscoelastic fluids with surface tension ⋮ Singular limits for the Navier-Stokes-Poisson equations of the viscous plasma with the strong density boundary layer ⋮ Uniform regularity for the free surface compressible Navier–Stokes equations with or without surface tension ⋮ Unnamed Item ⋮ Uniform regularity for the incompressible Navier-Stokes system with variable density and Navier boundary conditions ⋮ Zero-viscosity limit of the Navier-Stokes equations in the analytic setting ⋮ Zero-viscosity limit of the Navier-Stokes equations in a simply-connected bounded domain under the analytic setting ⋮ The combined inviscid and non-resistive limit for the nonhomogeneous incompressible magnetohydrodynamic equations with Navier boundary conditions ⋮ Uniform regularity and vanishing viscosity limit for the incompressible non-resistive MHD system with TMF ⋮ Zero viscosity and thermal diffusivity limit of the linearized compressible Navier–Stokes–Fourier equations in the half plane

Cites Work

• Unnamed Item
• Unnamed Item
• The strong inviscid limit of the isentropic compressible Navier-Stokes equations with Navier boundary conditions
• Concerning the \(W^{k,p}\)-inviscid limit for 3-D flows under a slip boundary condition
• Boundary layer analysis of the Navier-Stokes equations with generalized Navier boundary conditions
• Uniform regularity and vanishing viscosity limit for the free surface Navier-Stokes equations
• Uniform regularity for the Navier-Stokes equation with Navier boundary condition
• Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
• Remarks about the inviscid limit of the Navier-Stokes system
• Compact sets in the space \(L^ p(0,T;B)\)
• Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations
• Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
• Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution
• Unique solvability of the initial boundary value problems for compressible viscous fluids.
• Sharp inviscid limit results under Navier-type boundary conditions. An \(L^p\) theory
• The inviscid limit and stability of characteristic boundary layers for the compressible Navier-Stokes equations with Navier-friction boundary conditions
• On the inviscid limit of the 3D Navier-Stokes equations with generalized Navier-slip boundary conditions
• On 3D Lagrangian Navier-Stokes \(\alpha\) model with a class of vorticity-slip boundary conditions
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Vorticity and Incompressible Flow
• On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
• Probleme Mixte Hyperbolique Quasi-Lineaire Caracteristique
• On Nonstationary Motion of a Compressible Barotropic Viscous Fluid with Boundary Slip Condition
• Zero-viscosity limit of the linearized Navier-Stokes equations for a compressible viscous fluid in the half-plane
• On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II