  This paper is concerned with the asymptotic stability of a composite wave
consisting of two viscous shock waves to the Cauchy problem for a
one-dimensional system of heat-conductive ideal gas without viscosity. We
extend the results by Huang-Matsumura \cite{Huang-Matsumura} where they treated
the equation of viscous and heat-conductive ideal gas. That is, even forthe
non-viscous and heat-conductive case, we show that if the strengths of the
viscous shock waves and the initial perturbation are suitably small, the unique
global solution in time exists and asymptotically tends toward the
corresponding composite wave whose spacial shifts of two viscous shock waves
are uniquely determined by the initial perturbation.
