论文标题
多维喷嘴中潜在流的低马赫数限制和远处的场收敛速率，内部有障碍物
Low Mach Number Limit and Far Field Convergence Rates of Potential Flows in Multi-Dimensional Nozzles With an Obstacle Inside
论文作者
论文摘要
本文认为，稳定的欧拉在三维无限长的喷嘴中，稳定欧拉的稳定欧拉流动的低马赫数限制和远场收敛速率，内部有障碍物。首先，在多维喷嘴中具有外部力的不可压缩和可压缩的亚音速流的适合性理论是通过几个均匀估计来建立的，内部具有障碍物。随着可压缩性参数为零，均匀的亚音线可压缩流往往不可压缩的流量作为马赫数的二次顺序。此外，我们还给出了远处的不可压缩流量和可压缩流的收敛速率，即使喷嘴的边界变为平坦，即使力不接受远场的收敛速率。在远场的流量获得的收敛速率清楚地描述了外力的影响。
This paper considers the low Mach number limit and far field convergence rates of steady Euler flows with external forces in three-dimensional infinitely long nozzles with an obstacle inside. First, the well-posedness theory for both incompressible and compressible subsonic flows with external forces in multidimensional nozzle with an obstacle inside are established by several uniform estimates. The uniformly subsonic compressible flows tend to the incompressible flows as quadratic order of Mach number as the compressibility parameter goes to zero. Furthermore, we also give the convergence rates of both incompressible flow and compressible flow at far fields as the boundary of nozzle goes to flat even when the forces do not admit convergence rate at far fields. The convergence rates obtained for the flows at far fields clearly describe the effects of the external force.
