论文标题
亚音速流经过后边缘的配置文件
Subsonic flows past a profile with a vortex line at the trailing edge
论文作者
论文摘要
我们确定了亚音速流的存在，独特性和稳定性，经过涡流线在后端。这样的流模式受二维稳定可压缩欧拉方程的控制。连接到后边缘的涡旋线是Euler系统的触点不连续性，被视为自由边界。该问题是通过使用隐式函数定理来提出和解决的。主要困难是由于涡旋线与后端处的配置文件以及远端涡流线的可能微妙不稳定所致。发现重量的合适选择和精致的屏障功能可以解决此类困难。
We established the existence, uniqueness and stability of subsonic flows past an airfoil with a vortex line at the trailing edge. Such a flow pattern is governed by the two dimensional steady compressible Euler equations. The vortex line attached to the trailing edge is a contact discontinuity for the Euler system and is treated as a free boundary. The problem is formulated and solved by using the implicit function theorem. The main difficulties are due to the fitting of the vortex line with the profile at the trailing edge and the possible subtle instability of the vortex line at the far field. Suitable choices of the weights and elaborate barrier functions are found to deal with such difficulties.
