论文标题
长浪不稳定性
Long waves instabilities
论文作者
论文摘要
本文的目的是详细介绍Navier Stokes方程的剪切层长波不稳定性，尤其是为Orr Sommerfeld方程研究的研究提供了简单易懂的介绍，并详细介绍了其伴随的分析。在较小的条件下，使用这些分析，我们证明了长波不稳定性的存在，在缓慢旋转的液体，稍微可压缩的流体和Navier边界条件下存在。
The aim of this paper is to give a detailed presentation of long wave instabilities of shear layers for Navier Stokes equations, and in particular to give a simple and easy to read presentation of the study of Orr Sommerfeld equation and to detail the analysis of its adjoint. Using these analyses we prove the existence of long wave instabilities in the case of slowly rotating fluids, slightly compressible fluids and for Navier boundary conditions, under smallness conditions.
