Shear Instability for Stratified Hydrostatic Flows

被引：21
|
作者：
Chumakova, Lyuba [1 ]
Menzaque, Fernando E. [3 ]
Milewski, Paul A. [2 ]
Rosales, Rodolfo R. [4 ]
Tabak, Esteban G. [1 ]
Turner, Cristina V. [3 ]
机构：
[1] NYU, Courant Inst, New York, NY 10012 USA
[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[3] Univ Nacl Cordoba, FaMAF, RA-5000 Cordoba, Argentina
[4] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2009年 / 62卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1002/cpa.20245
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Stratified flows in hydrostatic balance are studied in both their multilayer and continuous formulations. A novel stability criterion is proposed for stratified flows, which reinterprets stability in terms not of growth of small perturbations but of the well-posedness of the time evolution. This reinterpretation allows one to extend the classic results of Miles and Howard concerning steady and planar flows to the realm of flows that are nonuniform and Unsteady. (C) 2008 Wiley Periodicals, Inc.
引用
收藏
页码：183 / 197
页数：15
相关论文
共 50 条
  • [41] Instability of plane shear flows
    Qi, Jiangang
    Chen, Shaozhu
    Xie, Bing
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 109 : 23 - 32
  • [42] Barotropic instability of shear flows
    Lin, Zhiwu
    Yang, Jincheng
    Zhu, Hao
    STUDIES IN APPLIED MATHEMATICS, 2020, 144 (03) : 289 - 326
  • [43] On the instability of magnetohydrodynamic shear flows
    Hughes, DW
    Tobias, SM
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 457 (2010): : 1365 - 1384
  • [44] The instability of stratified flows at large Richardson numbers
    Majda, AJ
    Shefter, M
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1998, 95 (14) : 7850 - 7853
  • [45] Shear instability in a stratified fluid when shear and stratification are not aligned
    Candelier, Julien
    Le Dizes, Stephane
    Millet, Christophe
    JOURNAL OF FLUID MECHANICS, 2011, 685 : 191 - 201
  • [46] GENERATION UNSTABILITY OF SHEAR FLOWS IN A STRATIFIED FLUID
    OSTROVSKY, LA
    TSIMRING, LS
    IZVESTIYA AKADEMII NAUK SSSR FIZIKA ATMOSFERY I OKEANA, 1981, 17 (07): : 766 - 768
  • [47] Comment on the paper stability of stratified shear flows
    Sharma, Nanak C.
    Shikkot, K.S.
    Journal of Mathematical Analysis and Applications, 1994, (1-2):
  • [48] On the Bounded Region for the Stratified Shear Flows in β-plane
    Lavanya, S.
    Ganesh, V.
    Reddy, G. Venkata Ramana
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2023, 14 (02): : 605 - 617
  • [49] On the stability analysis of sharply stratified shear flows
    Semyon Churilov
    Ocean Dynamics, 2018, 68 : 867 - 884
  • [50] Conjugate shear flows of a weakly stratified fluid
    Kazakov, A. Yu.
    JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS, 2009, 50 (02) : 235 - 242
12345