Vanishing Shear Viscosity Limit for the Navier–Stokes Equations with Cylindrical Symmetry: Boundary Layer and Optimal Convergence Rate

DOI10.1137/22m1509321zbMath1517.76056MaRDI QIDQ6099762

Weihao Zhang, Yinghui Wang, Huanyao Wen

Publication date: 20 June 2023

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

zbMATH Keywords

regularityexistenceinitial-boundary value problemcompressible Navier-Stokes equationsasymptotic matching methodheat-conducting flow

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Compressible Navier-Stokes equations (76N06)

Related Items (1)

Analytical solutions to the cylindrically symmetric compressible Navier-Stokes equations with density-dependent viscosity and vacuum free boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global symmetric classical solutions of the full compressible Navier-Stokes equations with vacuum and large initial data
• Boundary layers for compressible Navier-Stokes equations with density-dependent viscosity and cylindrical symmetry
• The limit of zero shear viscosity for compressible fluids
• Vanishing shear viscosity in a free-boundary problem for the equations of compressible fluids
• Boundary layers for the Navier-Stokes equations of compressible fluids
• On the non-isentropic compressible Navier-Stokes equations with cylindrical symmetry: boundary layers and convergence rate at vanishing shear viscosity
• Optimal convergence rate of the vanishing shear viscosity limit for compressible Navier-Stokes equations with cylindrical symmetry
• Vanishing shear viscosity and boundary layer for the Navier-Stokes equations with cylindrical symmetry
• On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
• Boundary-layer phenomena for the cylindrically symmetric Navier–Stokes equations of compressible heat-conducting fluids with large data at vanishing shear viscosity
• Vanishing Shear Viscosity in the Equations of Compressible Fluids for the Flows with the Cylinder Symmetry
• Stability of Boundary Layers for a Viscous Hyperbolic System Arising from Chemotaxis: One-Dimensional Case
• Boundary Layers for the Navier–Stokes Equations of Compressible Heat-Conducting Flows with Cylindrical Symmetry
• Stability of Boundary Layers for the Nonisentropic Compressible Circularly Symmetric 2D Flow

This page was built for publication: Vanishing Shear Viscosity Limit for the Navier–Stokes Equations with Cylindrical Symmetry: Boundary Layer and Optimal Convergence Rate