Analysis of the transition of one-dimensional flows of a viscous heat conducting gas to asymptotic regimes

1981 ◽  
Vol 16 (5) ◽  
pp. 726-732
Author(s):  
Yu. A. Dem'yanov ◽  
A. I. Igoshin
Keyword(s):  
Heat Conducting ◽  
One Dimensional ◽  
Viscous Heat

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

2001 ◽  
Vol 44 (2) ◽  
pp. 295-315
Author(s):  
Rachid Benabidallah
Keyword(s):  
Boundary Conditions ◽  
Positive Constant ◽  
Large Time ◽  
Subject Classification ◽  
Heat Conducting ◽  
Time Behaviour ◽  
Initial Amplitude ◽  
Variable Boundary ◽  
One Dimensional ◽  
Viscous Heat

AbstractWe 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

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