Asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations of a compressible fluid
type: Item
instance of: scholarly article
title: Asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations of a compressible fluid
zbMATH Open document ID: 1178.35292
author: Fei Jiang
author: Zhong Tan
author: Qiaolian Yan
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2009-09-02T00:00:00Z
review text: A Navier-Stokes-Poisson problem with an external force for a compressible fluid is considered. The system describes the motion of a compressible viscous isentropic gas flow under the self-gravitational force with an external force. After defining finite energy weak solutions of the considered problem, their global behaviour is studied. The existence of bounded absorbing sets is proved and the asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations is obtained.
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 5601460
zbMATH Keywords: compressible Navier-Stokes-Poisson equations
zbMATH Keywords: finite energy weak solution
zbMATH Keywords: asymptotic compactness
MaRDI profile type: Publication
full work available at URL: s00030-009-0021-1
OpenAlex ID: W2003366592
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DOI: 10.1007/S00030-009-0021-1
description: scientific article; zbMATH DE number 5601460