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SUR LA STABILITÉ POUR L’ÉQUATION MONODIMENSIONNELLE D’UN GAZ VISQUEUX ET CALORIFÈRE AVEC LA FRONTIÈRE VARIABLE

Published online by Cambridge University Press:  20 January 2009

Rachid Benabidallah
Rachid Benabidallah
Affiliation:
Dipartimento di Matematica, Università di Pisa, Via Buonarroti n.2, 56127 Pisa, Italy ([email protected])
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Abstract

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We consider the equation of a one-dimensional viscous heat-conducting compressible gas in the variable domain with the appropriate boundary conditions. We study the large-time behaviour of the solution in the particular case where the displacement of the variable boundary is given by $L(t)=L_0(1+at)^\alpha$ with $0lt\alphalt1$, where $a$ is a positive constant and $L_0$ is the initial amplitude of our domain.

AMS 2000 Mathematics subject classification: Primary 35B40; 76N15

Keywords

viscous polytropic gasstabilitymoving boundary
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 44 , Issue 2 , June 2001 , pp. 295 - 315
Copyright
Copyright © Edinburgh Mathematical Society 2001