Exponential stability for a nonlinear one-dimensional heat-conductive viscous real gas ✩

In this paper, we prove the existence and the exponential stability in Hi+ (i = 1, 2), an incomplete metric subspace of Hi × Hi × Hi (i = 1, 2), of a nonlinear C0-semigroup S(t) for a nonlinear one-dimensional heat-conductive viscous real gas in bounded domain Ω = (0, 1). The results in this paper improve those previously related results.  2002 Elsevier Science (USA). All rights reserved