Long-wave instabilities

被引：0
|
作者：
Dongfen Bian [1 ]
Emmanuel Grenier [2 ]
机构：
[1] School of Mathematics and Statistics,Beijing Institute of Technology
[2] Unité de Mathématiques Pures et Appliquées,CNRS UMR ,école Normale Supérieure de
来源：
ScienceChina(Mathematics) | 2024年 / 67卷 / 08期
关键词：
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
This paper aims to give a detailed presentation of long-wave instabilities of shear layers for NavierStokes equations, and in particular to give a simple and easy-to-read presentation of the study of the OrrSommerfeld equation and to detail the analysis of its adjoint. Using these analyses, we prove the existence of long-wave instabilities in the cases of slowly rotating fuids, slightly compressible fuids, or fuids with Navier boundary conditions, under smallness conditions.
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页码：1761 / 1776
页数：16
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