Asymptotic Behavior Of Solution Of Sparse Wave And Contact Intermittent Wave In One - Dimensional Hydrodynamic System With Radiation

We investigate the Cauchy problem of one-dimensional radiative hydrodynamic systems. We construct the solution of vicious combination of contact waves with rarefaction waves and obtain its asymptotic stability for the Cauchy problem by energy estimations.There are three chapters in this paper. We give a simple introduction of the asymptotic behav-ior of the solution of viscous contact waves and viscous rarefaction waves to the one-dimensional radiative hydrodynamic systems. In the first paper, we describe the results of others and our main results. Then we introduce two relevant lemmas in the second chapter. Finally we prove some pri-ori estimates by the energy method and then give the proof of our main results by the continuous induction.