  This paper is concerned with the Cauchy problem of heat-conductive ideal gas
without viscosity. We show that, for the non-viscous case, if the strengths of
the wave patterns and the initial perturbation are suitably small, the unique
global-in-time solution exists and asymptotically tends toward the
corresponding the viscous contact wave or the composition of a viscous contact
wave with rarefaction waves determined by the initial condition, which extended
the results by Huang-Li-Matsumura[13], where they treated the viscous and
heat-conductive ideal gas.
