Variational derivation of a geophysical Camassa–Holm type shallow water equation. (June 2017)

• Record Type: Journal Article
• Authors: Ionescu-Kruse, Delia
• Is Part Of: Nonlinear analysis. Volume 156(2017)
• Page Start: 286
• Page End: 294
• Publication Date: 2017-06
• Subjects: Geophysical flows -- Shallow water waves -- Camassa–Holm equation -- Variational methods; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2017.02.023
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider two-dimensional one-layer irrotational equatorial oceanic flows in the f -plane approximation. In the small-amplitude shallow water regime, we deduce, by a variational method in the Lagrangian formalism, a Camassa–Holm type equation.