Shear instability for stratified hydrostatic flows

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

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)183-197
Number of pages15
JournalCommunications on Pure and Applied Mathematics
Volume62
Issue number2
DOIs
StatePublished - Feb 2009

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Stratified Flow
Hydrostatics
Stability criteria
Multilayers
Stability Criteria
Small Perturbations
Well-posedness
Multilayer
Formulation
Term

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Chumakova, L., Menzaque, F. E., Milewski, P. A., Rosales, R. R., Tabak, E., & Turner, C. V. (2009). Shear instability for stratified hydrostatic flows. Communications on Pure and Applied Mathematics, 62(2), 183-197. https://doi.org/10.1002/cpa.20245

Shear instability for stratified hydrostatic flows. / Chumakova, Lyuba; Menzaque, Fernando E.; Milewski, Paul A.; Rosales, Rodolfo R.; Tabak, Esteban; Turner, Cristina V.

In: Communications on Pure and Applied Mathematics, Vol. 62, No. 2, 02.2009, p. 183-197.

Research output: Contribution to journalArticle

Chumakova, L, Menzaque, FE, Milewski, PA, Rosales, RR, Tabak, E & Turner, CV 2009, 'Shear instability for stratified hydrostatic flows', Communications on Pure and Applied Mathematics, vol. 62, no. 2, pp. 183-197. https://doi.org/10.1002/cpa.20245
Chumakova, Lyuba ; Menzaque, Fernando E. ; Milewski, Paul A. ; Rosales, Rodolfo R. ; Tabak, Esteban ; Turner, Cristina V. / Shear instability for stratified hydrostatic flows. In: Communications on Pure and Applied Mathematics. 2009 ; Vol. 62, No. 2. pp. 183-197.
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