Shear instability for stratified hydrostatic flows

Lyuba Chumakova; Fernando E. Menzaque; Paul A. Milewski; Rodolfo R. Rosales; Esteban G. Tabak; Cristina V. Turner

doi:10.1002/cpa.20245

Shear instability for stratified hydrostatic flows

Lyuba Chumakova, Fernando E. Menzaque, Paul A. Milewski, Rodolfo R. Rosales, Esteban G. Tabak, Cristina V. Turner

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	183-197
Number of pages	15
Journal	Communications on Pure and Applied Mathematics
Volume	62
Issue number	2
DOIs	https://doi.org/10.1002/cpa.20245
State	Published - Feb 2009

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/cpa.20245

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AU - Chumakova, Lyuba

AU - Menzaque, Fernando E.

AU - Milewski, Paul A.

AU - Rosales, Rodolfo R.

AU - Tabak, Esteban G.

AU - Turner, Cristina V.

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Shear instability for stratified hydrostatic flows

Abstract

ASJC Scopus subject areas

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