Year: 2022
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Bian, Dongfen, Grenier, Emmanuel
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: 磁流体力学方程组的稳定性和不稳定性研究
OpenAlex ID: W4281558524