A note on the stability theory of buoyancy-driven ocean currents over a sloping bottom
type: Item
instance of: scholarly article
title: A note on the stability theory of buoyancy-driven ocean currents over a sloping bottom
zbMATH Open document ID: 0844.76031
DOI: 10.1007/BF00917572
author: Richard H. Karsten
author: G. E. Swaters
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1996-09-02T00:00:00Z
review text: The purpose of this note is to show that the normal-mode stability conditions derived by \textit{G. E. Swaters} [Philos. Trans. R. Soc. Lond., Ser. A 345, No. 1675, 295-325 (1993; Zbl 0812.76032)] can be obtained by working with an appropriately constrained linear momentum invariant, and that these stability results can be generalized to establish conditions for the nonlinear stability in the sense of Lyapunov for buoyancy-driven ocean fronts.
Mathematics Subject Classification ID: 76E20
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 859672
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: Poincaré inequality
zbMATH Keywords: normal-mode stability conditions
zbMATH Keywords: linear momentum invariant
zbMATH Keywords: nonlinear stability
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00917572
OpenAlex ID: W2104234130
description: scientific article; zbMATH DE number 859672