Global solutions and stability for self-gravitating isentropic gases
type: Item
instance of: scholarly article
title: Global solutions and stability for self-gravitating isentropic gases
zbMATH Open document ID: 0921.35135
author: Dehua Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-02-17T00:00:00Z
review text: The author considers the system \[ {\partial\over\partial t}\rho+ {\partial\over \partial r}(\rho u)+{2\over r}\rho u=0, \] \[ {\partial\over \partial t}(\rho u)+{\partial \over\partial r} (\rho u^2+p)+ {2\over r}\rho u^2= -{\rho\over r^2}\left[ r+g\int^r_{R_0} \rho(s,t)s^2 ds\right], \] \(r>R_0>0\), \(p= {\rho^\gamma\over\gamma}\), \(\gamma\in(0,2)\), with initial-boundary condition. He constructs approximate solutions and provides stability, convergence and consistency results.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76N20
Mathematics Subject Classification ID: 65M99
zbMATH DE Number: 1251430
zbMATH Keywords: approximate solutions
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: consistency
reviewed by: Rudolf Kodnár
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6179
OpenAlex ID: W1990332997
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DOI: 10.1006/JMAA.1998.6179
description: scientific article; zbMATH DE number 1251430