Vanishing shear viscosity and boundary layer for the Navier-Stokes equations with cylindrical symmetry

DOI10.1007/s00205-014-0826-xzbMath1320.35288OpenAlexW2073412490MaRDI QIDQ2347191

Xulong Qin, Tong Yang, Wen-Shu Zhou, Zheng-An Yao

Publication date: 27 May 2015

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-014-0826-x

zbMATH Keywords

shear viscosityconvergence ratecompressible Navier-Stokes equationsboundary layercylindrical symmetry

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)

Related Items (21)

Convergence rate of the vanishing viscosity limit for the Hunter-Saxton equation in the half space ⋮ On the non-isentropic compressible Navier-Stokes equations with cylindrical symmetry: boundary layers and convergence rate at vanishing shear viscosity ⋮ Global classical solutions of the full compressible Navier-Stokes equations with cylindrical or spherical symmetry ⋮ An estimate on the thickness of boundary layer for nonlinear evolution equations with damping and diffusion ⋮ Symmetric flows for compressible heat-conducting fluids with temperature dependent viscosity coefficients ⋮ Asymptotic behavior for cylindrically symmetric nonbarotropic flows in exterior domains with large data ⋮ Boundary layers for a fluid-particle interaction system with density-dependent viscosity and cylindrical symmetry ⋮ Unique solvability and zero diffusion limits of global large solution for a nonlinear hyperbolic system with damping and diffusion ⋮ Vanishing Shear Viscosity Limit for the Navier–Stokes Equations with Cylindrical Symmetry: Boundary Layer and Optimal Convergence Rate ⋮ Analytical solutions to the cylindrically symmetric compressible Navier-Stokes equations with density-dependent viscosity and vacuum free boundary ⋮ Vanishing shear viscosity in the magnetohydrodynamic equations with temperature-dependent heat conductivity ⋮ Characteristic boundary layers in the vanishing viscosity limit for the Hunter-Saxton equation ⋮ Vanishing diffusion limit and boundary layers for a nonlinear hyperbolic system with damping and diffusion ⋮ Boundary layers and stabilization of the singular Keller-Segel system ⋮ Optimal convergence rate of the vanishing shear viscosity limit for compressible Navier-Stokes equations with cylindrical symmetry ⋮ On a simplified compressible Navier-Stokes equations with temperature-dependent viscosity ⋮ Stability of stationary solution for the compressible viscous magnetohydrodynamic equations with large potential force in bounded domain ⋮ The behavior of boundary layer for the compressible planar MHD equations at small shear viscosity ⋮ Asymptotic behavior of spherically or cylindrically symmetric solutions to the compressible Navier-Stokes equations with large initial data ⋮ Vanishing shear viscosity limit and boundary layer study for the planar MHD system ⋮ Vanishing viscosity in the Navier–Stokes equations of compressible heat-conducting flows with the spherical symmetry

Cites Work

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• Symmetric nonbarotropic flows with large data and forces
• Boundary layers for the Navier-Stokes equations of compressible fluids
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