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We present analytic self-similar or traveling wave solutions for aone-dimensional coupled system of continuity, compressible Euler and heatconduction equations. Different kind of equation of states are investigated. Incertain forms of the equation of state one can arrive to a picture regardingthe long time behavior of density and pressure. The impact of these quantitieson the evolution of temperature is also discussed.

Analytic solutions for the one-dimensional compressible Euler equation with heat conduction closed with different kind of equation of states