Asymptotic stability of the spherically symmetric solutions for a viscous polytropic gas in a field of external forces

DOI10.1080/00411450008205878zbMath0998.76075OpenAlexW2002674496MaRDI QIDQ2720977

Shigenori Yanagi

Publication date: 28 June 2001

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450008205878

zbMATH Keywords

asymptotic stabilityspherically symmetric solutionsviscous polytropic gasbounded annular domainexponential convergence to stationary solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (10)

3-D flow of a compressible viscous micropolar fluid with spherical symmetry: a local existence theorem ⋮ One-dimensional model and numerical solution to the viscous and heat-conducting micropolar real gas flow with homogeneous boundary conditions ⋮ Local existence theorem for micropolar viscous real gas flow with homogeneous boundary conditions ⋮ TEMPORALLY GLOBAL SOLUTION TO THE EQUATIONS FOR A SPHERICALLY SYMMETRIC VISCOUS RADIATIVE AND REACTIVE GAS OVER THE RIGID CORE ⋮ 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: uniqueness of a generalized solution ⋮ FREE-BOUNDARY PROBLEM OF THE ONE-DIMENSIONAL EQUATIONS FOR A VISCOUS AND HEAT-CONDUCTIVE GASEOUS FLOW UNDER THE SELF-GRAVITATION ⋮ LARGE-TIME BEHAVIOR OF SPHERICALLY SYMMETRIC SOLUTIONS TO AN ISENTROPIC MODEL OF COMPRESSIBLE VISCOUS FLUID IN A FIELD OF POTENTIAL FORCES ⋮ On a fluid model of neutron star ⋮ Exponential stability of spherically symmetric solutions for compressible viscous micropolar fluid ⋮ 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: large time behavior of the solution

Cites Work

• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
• Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas
• Asymptotic stability of the spherically symmetric solutions for an isentropic model of compressible viscous gas
• Large-time behavior of the spherically symmetric solutions of an isothermal model of compressible viscous gas

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