论文标题
多维亚元电势流的存在和最佳收敛速率通过无限长的喷嘴，内部有障碍物
Existence and Optimal Convergence Rates of Multi-dimensional Subsonic Potential Flows Through an Infinitely Long Nozzle with an Obstacle Inside
论文作者
论文摘要
在本文中，建立了内部三维无限长喷嘴的亚音速内流动流的良好和最佳收敛速率，内部具有光滑的障碍物。更确切地说，只要输入的质量通量小于临界值，就可以通过变异表述获得均匀亚音速流的全局存在和唯一性。此外，借助精致的体重功能选择，我们通过加权能量估计和NASH-MOSER迭代证明了远场流量的最佳收敛速率。
In this paper, the well-posedness and optimal convergence rates of subsonic irrotational flows through a three dimensional infinitely long nozzle with a smooth obstacle inside are established. More precisely, the global existence and uniqueness of the uniformly subsonic flow are obtained via variational formulation as long as the incoming mass flux is less than a critical value. Furthermore, with the aid of delicate choice of weight functions, we prove the optimal convergence rates of the flow at far fields via weighted energy estimates and Nash-Moser iteration.
