论文标题
平面对称性的冲击相互作用
Shock Interaction in Plane Symmetry
论文作者
论文摘要
我们考虑了压缩流体中两个迎面式冲击的相互作用的问题。我们在相互作用点之后建立了一个局部时间解决方案，从而确定了源自相互作用点的已出现的冲击后面的状态。这些冲击在空间时间内的位置尚不清楚，问题构成了双免费边界问题，即〜仅在单点（单点）的相互作用点中给出了该问题的完整数据。可以将本文视为Arxiv：2112.15266的文章的扩展，该文章涉及墙上冲击的反射。
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.
