Global existence of cylinder symmetric solutions for the nonlinear compressible Navier-Stokes equations

DOI10.1155/2011/264795zbMath1235.35211OpenAlexW2157354717WikidataQ58690303 ScholiaQ58690303MaRDI QIDQ410780

Fengxiao Zhai, Beibei Zhang, Lan Huang

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/264795

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Axially symmetric solutions to PDEs (35B07)

Cites Work

• Exponential stability for the compressible Navier-Stokes equations with the cylinder symmetry in \(\mathbb R^3\)
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Global existence and exponential stability of solutions in \(H^4\) for the compressible Navier-Stokes equations with the cylinder symmetry
• Large-time behavior of solutions to the equations of a viscous polytropic ideal gas
• Spherically symmetric equation of a viscous heat conducting gas with free surface
• Global spherically symmetric solutions to the equations of a viscous polytropic ideal gas in an exterior domain
• Global behavior of compressible Navier-Stokes equations with a degenerate viscosity coefficient
• Compressible Navier-Stokes system in 1-D
• GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER–STOKES EQUATIONS FOR A 1D ISOTHERMAL VISCOUS GAS
• Global existence of spherically symmetric solutions for nonlinear compressible Navier–Stokes equations
• Global existence and asymptotic behavior for the compressible Navier-Stokes equations with a non-autonomous external force and a heat source
• Global solutions of the compressible navier-stokes equations with larger discontinuous initial data
• Existence of periodic solutions for a one-dimensional isentropic model system of compressible viscous gas
• Universal attractors for the Navier-Stokes equations of compressible and heat-conductive fluid in bounded annular domains in \(\mathbb{R}^n\)

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