Sur La Stabilité Pour L’équation Monodimensionnelle D’un Gaz Visqueux Et Calorifère Avec La Frontière Variable

Abstract

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) α with 0 < α < 1, where a is a positive constant and L 0 is the initial amplitude of our domain.