Global classical solutions of the full compressible Navier-Stokes equations with cylindrical or spherical symmetry

DOI10.1016/j.nonrwa.2016.06.008zbMath1352.35100OpenAlexW2469261289MaRDI QIDQ321962

Lei Yao, Xin-hua Zhao

Publication date: 14 October 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.06.008

zbMATH Keywords

global classical solutionsweighted estimatescylindrical or spherical symmetryfull compressible Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35)

Related Items (2)

Local Strong Solutions to the Full Compressible Navier--Stokes System with Temperature-Dependent Viscosity and Heat Conductivity ⋮ Equatorial wave-current interactions

Cites Work

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• Global symmetric classical solutions of the full compressible Navier-Stokes equations with vacuum and large initial data
• Global classical large solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Existence results for viscous polytropic fluids with vacuum
• On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
• Asymptotic behavior of compressible Navier-Stokes equations with density-dependent viscosity and vacuum
• Global existence of large solutions to initial boundary value problems for a viscous, heat-conducting, one-dimensional real gas
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• On the first initial-boundary value problem of compressible viscous fluid motion
• Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
• Large-time behavior of solutions to the equations of a one-dimensional viscous polytropic ideal gas in unbounded domains
• Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum
• Unique solvability of the initial boundary value problems for compressible viscous fluids.
• Large-time behavior of solutions to the equations of a viscous polytropic ideal gas
• Symmetric nonbarotropic flows with large data and forces
• Strong solutions of the Navier-Stokes equations for isentropic compressible fluids
• Global spherically symmetric solutions to the equations of a viscous polytropic ideal gas in an exterior domain
• 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
• COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM
• Global Classical Large Solutions to Navier--Stokes Equations for Viscous Compressible and Heat-Conducting Fluids with Vacuum
• Global Spherically Symmetric Classical Solution to Compressible Navier–Stokes Equations with Large Initial Data and Vacuum
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
• Global weak solutions to the Navier-Stokes equations for a 1D viscous polytropic ideal gas
• Vanishing Shear Viscosity in the Equations of Compressible Fluids for the Flows with the Cylinder Symmetry
• Global existence of the radially symmetric solutions of the Navier–Stokes equations for the isentropic compressible fluids
• On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid
• On the motion of a viscous, compressible, and heat conducting fluid

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