This paper is devoted to studying the inflow problem governed by the non-viscous and heat-conductive gas dynamic system in the one-dimensional half space. We establish the unique global-in-time existence and the asymptotic stability of the viscous contact wave. The contact discontinuity in the linearly degenerate field is less stable, and the dissipative mechanism for non-viscous systems is also weaker than that of viscous systems, these all make the problem more challenging. We used the weighted energy estimates to overcome those difficulties. Some technical discussions were created carefully by taking good advantage of properties of the supersonic region and the viscous contact wave.

本文致力于研究一维半空间中非粘性导热气体动力系统控制的流入问题。我们建立了粘性接触波的独特全局时间存在性和渐近稳定性。线性退化场中的接触不连续性不太稳定，非粘性系统的耗散机制也比粘性系统弱，这些都使问题更具挑战性。我们使用加权能量估计来克服这些困难。通过充分利用超音速区域和粘性接触波的特性，精心创建了一些技术讨论。