论文标题
对具有强边界层的可压缩Navier-Stokes方程进行线性不稳定性分析
Linear instability analysis on compressible Navier-Stokes equations with strong boundary layer
论文作者
论文摘要
关于各种物理设置中不同流体动力模式的稳定性和不稳定性的流体动力学，这是一个经典问题，尤其是在带有边界层的层流的高雷诺数限制中。但是，尽管流体受不可压缩的Navier-Stokes方程的影响，但可压缩流体的数学结果很少。本文旨在引入一种新的方法，以研究亚音速和高雷诺数制度中可压缩的Navier-Stokes方程，其中开发了微妙的准压缩和Stokes迭代。作为副产品，我们显示了亚音速边界层的光谱不稳定性。
It is a classical problem in fluid dynamics about the stability and instability of different hydrodynamic patterns in various physical settings, in particular in the high Reynolds number limit of laminar flow with boundary layer. However, there are very few mathematical results on the compressible fluid despite the extensive studies when the fluid is governed by the incompressible Navier-Stokes equations. This paper aims to introduce a new approach to study the compressible Navier-Stokes equations in the subsonic and high Reynolds number regime where a subtle quasi-compressible and Stokes iteration is developed. As a byproduct, we show the spectral instability of subsonic boundary layer.
