Shear Instability for Stratified Hydrostatic Flows

被引：22

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

页码：183 / 197

页数：15

共 17 条

[1]

Bleck R, 1998, NATO ADV SCI I C-MAT, V516, P423

[2]

CHUMAKOVA L, SIAM J APPL MA UNPUB

[3]

Gray JMNT, 1999, J PHYS OCEANOGR, V29, P2920, DOI 10.1175/1520-0485(1999)029<2920:LOHAIP>2.0.CO

[4]

[5] Internal hydraulic jumps and mixing in two-layer flows [J].

Holland, DM ;

Rosales, RR ;

Stefanica, D ;

Tabak, EG .

JOURNAL OF FLUID MECHANICS, 2002, 470 :63-83

[6] NOTE ON A PAPER OF MILES,JOHN,W. [J].

HOWARD, LN .

JOURNAL OF FLUID MECHANICS, 1961, 10 (04) :509-512

[7]

JACOBSEN T, STUD APPL M IN PRESS

[8]

JOHN F, 1991, APPL MATH SCI, V1

[9]

Lax P., 1973, C BOARD MATH SCI REG

[10]

LIGHTHILL J., 1978, Waves in Fluids

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