On the asymptotic behavior of the motion of a viscous, heat-conducting, one-dimensional real gas
type: Item
instance of: scholarly article
title: On the asymptotic behavior of the motion of a viscous, heat-conducting, one-dimensional real gas
zbMATH Open document ID: 0807.35016
DOI: 10.1007/BF02572324
author: Song Jiang
published in: Mathematische Zeitschrift
publication date: 1994-12-21T00:00:00Z
full work available at URL: https://eudml.org/doc/174653
review text: We investigate the asymptotic behavior of smooth solutions as \(t \to \infty\) of initial boundary value problems for the equations of the one- dimensional motion of a viscous, heat-conducting, real gas. It is proved that solutions converge exponentially to a constant steady state for the confined gas, and in the free boundary case the volume occupied by the gas grows at least linearly in \(t\), while in the damped boundary case it grows more than logarithmically but not more than \(\sqrt t\). The proof is essentially based on a careful examination of a priori estimates which are shown to be independent of \(t\).
reviewed by: Song Jiang
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 704920
zbMATH Keywords: one-dimensional motion of a viscous, heat-conducting, real gas
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 704920