Free boundary value problem to 3D spherically symmetric compressible Navier–Stokes–Poisson equations

In the paper, we consider the free boundary value problem to 3D spherically symmetric compressible isentropic Navier–Stokes–Poisson equations for self-gravitating gaseous stars with γ -law pressure density function for 6 5 < γ ≤ 4 3 . For stress-free boundary condition and zero flow density conti...

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Physik 2017-02, Vol.68 (1), p.1-34, Article 21
Main Authors: Kong, Huihui, Li, Hai-Liang
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary value problems
Compressibility
Critical mass
Density
Economic models
Engineering
Fluid flow
Free boundaries
Gravitation
Mathematical analysis
Mathematical Methods in Physics
Navier-Stokes equations
Poisson equation
Theoretical and Applied Mechanics
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Summary:In the paper, we consider the free boundary value problem to 3D spherically symmetric compressible isentropic Navier–Stokes–Poisson equations for self-gravitating gaseous stars with γ -law pressure density function for 6 5 < γ ≤ 4 3 . For stress-free boundary condition and zero flow density continuously across the free boundary, the global existence of spherically symmetric weak solutions is shown, and the regularity and long time behavior of global solution are investigated for spherically symmetric initial data with the total mass smaller than a critical mass.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-016-0763-7