On the exponential stability of the rest state of a viscous compressible fluid
type: Item
instance of: scholarly article
title: On the exponential stability of the rest state of a viscous compressible fluid
zbMATH Open document ID: 0930.35138
author: Mariarosaria Padula
published in: Journal of Mathematical Fluid Mechanics
publication date: 2000-02-09T00:00:00Z
review text: The author considers viscous isothermal gas in a bounded three-dimensional domain, assuming that the gas is subjected only to a potential force. The main results show that the energy of weak regular perturbations to the basic rest state decays exponentially in time, regardless of the magnitude of the potential force. The decay rate depends only on the viscosity coefficient, on a thermodynamic parameter, and on the domain. The results can be extended to the case of discontinuous density (e.g. to supersonic flows). In the inviscid limit, the author recovers the marginal stability.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76E30
zbMATH DE Number: 1310875
zbMATH Keywords: Poisson-Stokes equations
zbMATH Keywords: energy method
zbMATH Keywords: isothermal gas
zbMATH Keywords: potential force
zbMATH Keywords: weak regular perturbations
zbMATH Keywords: discontinuous density
zbMATH Keywords: inviscid limit
zbMATH Keywords: marginal stability
MaRDI profile type: Publication
full work available at URL: s000210050004
OpenAlex ID: W2020687886
DOI: 10.1007/S000210050004
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description: scientific article; zbMATH DE number 1310875