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VOL. 64 | 2015 Global existence of the spherically symmetric flow of a self-gravitating viscous gas
Morimichi Umehara

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

In this paper we consider a free-boundary problem for the spherically symmetric flow of a self-gravitating viscous and heat-conductive gas over a rigid sphere. Considering the problem in the Lagrangian-mass coordinate system, we investigate the temporally global existence and behaviour of the solution. Especially, we focus our discussion on the corresponding stationary problem, whose solution gives an asymptotic profile of the solution of the original (time-dependent) problem.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1335.35186
MathSciNet: MR3381319

Digital Object Identifier: 10.2969/aspm/06410515

Subjects:
Primary: 35Q30, 35Q85, 35R35, 76N10

Rights: Copyright © 2015 Mathematical Society of Japan

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