Abstract A well-posedness analysis of steady state of inviscid compressible subsonic impinging flows with non-zero vorticity is developed. A nonlinear nonhomogeneous second-order partial differential equation for the solution of the flow stream function is derived in terms of the inlet flow specifying the horizontal velocity. We first construct a subsonic solution to the impinging flow problem with special horizontal velocity and specific effluent fluxes in the outlets. Moreover, we showed that such a subsonic impinging flow with the same asymptotic behavior in the upstream and downstreams is unique. Furthermore, the existence, uniqueness and regularity of the interface separating the two fluids with different outlets are obtained. This result extends the recent result on the compressible subsonic irrotational impinging flows in [5] . Finally, as a byproduct, we obtain the existence of subsonic-sonic impinging flows.

中文翻译：

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非零涡度的稳态可压缩亚音速撞击流

摘要 建立了非零涡度无粘性可压缩亚音速撞击流稳态的适定性分析。一个非线性非齐次二阶偏微分方程求解流动流函数是根据指定水平速度的入口流推导出来的。我们首先针对具有特殊水平速度和特定出口流量的撞击流问题构建亚音速解决方案。此外，我们证明了这种在上游和下游具有相同渐近行为的亚音速撞击流是独一无二的。此外，还获得了分离具有不同出口的两种流体的界面的存在性、唯一性和规律性。这一结果扩展了 [5] 中关于可压缩亚音速无旋撞击流的最新结果。最后，