Exterior problem for the spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity

DOI10.1186/s13661-016-0535-5zbMath1335.35199OpenAlexW2284190970WikidataQ59468230 ScholiaQ59468230MaRDI QIDQ257332

Jian Liu, Ru-xu Lian

Publication date: 16 March 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0535-5

zbMATH Keywords

exterior problemdensity-dependent viscosityspherically symmetric Navier-Stokes equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35)

Cites Work

• Unnamed Item
• On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas
• Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations
• A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity
• On global motions of a compressible barotropic and self-gravitating gas with density-dependent viscosities
• Global solutions of the Navier-Stokes equations for compressible flow with density-dependent viscosity and discontinuous initial data
• On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
• Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects
• Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity
• The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients
• Dynamical behaviors for 1D compressible Navier-Stokes equations with density-dependent viscosity
• Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations
• Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum
• Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. II
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Vacuum states for compressible flow
• On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid
• The Cauchy problem for the one-dimensional compressible Navier-Stokes equations
• Local existence of solutions to the free boundary value problem for compressible Navier-Stokes equations
• COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM
• On the 2D compressible Navier–Stokes system with density-dependent viscosities
• Stability of Rarefaction Waves to the 1D Compressible Navier–Stokes Equations with Density-Dependent Viscosity
• On the Barotropic Compressible Navier–Stokes Equations
• Existence and Uniqueness of Global Strong Solutions for One-Dimensional Compressible Navier–Stokes Equations
• Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation

This page was built for publication: Exterior problem for the spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity