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.

引用

页码：1761 / 1776

页数：16

共 50 条

[41] LONG-WAVE BEHAVIOR OF BEVERAGE WAVE AERIAL
WAIT, JR
ELECTRONICS LETTERS, 1976, 12 (14) : 358 - 358
[42] Long-wave instabilities of film flow under an electrostatic field: Two-dimensional disturbance theory
Kim, H
KOREAN JOURNAL OF CHEMICAL ENGINEERING, 1997, 14 (01) : 41 - 48
[43] Long-wave interface instabilities of a two-layer system under periodic excitation for thin films
A. Navarkar
S. Amiroudine
E. A. Demekhin
U. Ghosh
S. Chakraborty
Microfluidics and Nanofluidics, 2016, 20
[44] 'Phase diagram' of interfacial instabilities in a two-layer Couette flow and mechanism of the long-wave instability
Charru, F
Hinch, EJ
JOURNAL OF FLUID MECHANICS, 2000, 414 : 195 - 223
[45] Long-wave interfacial instabilities in a thin electrolyte film undergoing coupled electrokinetic flows: a nonlinear analysis
Ray, Bahni
Bandyopadhyay, Dipankar
Sharma, Ashutosh
Joo, Sang Woo
Qian, Shizhi
Biswas, Gautam
MICROFLUIDICS AND NANOFLUIDICS, 2013, 15 (01) : 19 - 33
[46] Long-wave interface instabilities of a two-layer system under periodic excitation for thin films
Navarkar, A.
Amiroudine, S.
Demekhin, E. A.
Ghosh, U.
Chakraborty, S.
MICROFLUIDICS AND NANOFLUIDICS, 2016, 20 (11)
[47] Long-Wave Instabilities of Viscoelastic Fluid Film Flowing Down an Inclined Plane with Linear Temperature Variation
Mukhopadhyay, Asim
Haldar, Samadyuti
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (8-9): : 618 - 632
[48] Long-wave interfacial instabilities in a thin electrolyte film undergoing coupled electrokinetic flows: a nonlinear analysis
Bahni Ray
Dipankar Bandyopadhyay
Ashutosh Sharma
Sang Woo Joo
Shizhi Qian
Gautam Biswas
Microfluidics and Nanofluidics, 2013, 15 : 19 - 33
[49] LEADERSHIP GENERATIONS - A LONG-WAVE MACROHISTORY
BERRY, BJL
KIM, H
TECHNOLOGICAL FORECASTING AND SOCIAL CHANGE, 1994, 46 (01) : 1 - 9
[50] AN INTEGRATED THEORY OF THE ECONOMIC LONG-WAVE
STERMAN, JD
FUTURES, 1985, 17 (02) : 104 - 131

← 1 2 3 4 5 →