平面对称激波干扰
Shock Interaction in Plane Symmetry
摘要：
本文研究了正压流体平面对称中两个迎面激波的相互作用问题。我们建立了一个本地的时间解决方案后的点的相互作用，从而确定背后出现的冲击，起源于相互作用点的状态。由于这些激波在时空中的位置是未知的，因此问题构成一个双重自由边界问题，即~该问题的完整数据仅在单个点（交互作用点）中给出。这篇文章可以被看作是arXiv：2112.15266文章的扩展，该文章讨论了激波在墙上的反射。
英文摘要：
We consider the problem of interaction of two oncoming shocks in plane symmetry for a barotropic fluid. We establish a local in time solution after the point of interaction, thereby determining the state behind the emerged shocks which originate at the interaction point. The location of these shocks in space time being unknown the problem constitutes a double free boundary problem, i.e.~complete data for the problem is only given in a single point, the interaction point. This article can be viewed as an extension of the article arXiv:2112.15266 which deals with the reflection of a shock on a wall.
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