Optimal convergence rate of the vanishing shear viscosity limit for compressible Navier-Stokes equations with cylindrical symmetry

DOI10.1016/j.matpur.2020.09.003zbMath1459.76121OpenAlexW3089336615MaRDI QIDQ2224717

Changjiang Zhu, Huanyao Wen, Tong Yang, Xin-hua Zhao

Publication date: 4 February 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2020.09.003

zbMATH Keywords

global stabilityPrandtl boundary layer equationsvanishing shear viscosity

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) 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 (5)

On the non-isentropic compressible Navier-Stokes equations with cylindrical symmetry: boundary layers and convergence rate at vanishing shear viscosity ⋮ Global Solvability and Vanishing Shear Viscosity Limit for a Simplified Compressible Navier--Stokes System with Temperature-Dependent Viscosity ⋮ 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 diffusion limit and boundary layers for a nonlinear hyperbolic system with damping and diffusion

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