We present analytic self-similar or traveling wave solutions for a
one-dimensional coupled system of continuity, compressible Euler and heat
conduction equations. Different kind of equation of states are investigated. In
certain forms of the equation of state one can arrive to a picture regarding
the long time behavior of density and pressure. The impact of these quantities
on the evolution of temperature is also discussed.Comment: 3 figures, will be submitted to Physics of Fluid
