Free-surface capillary–gravity azimuthal equatorial flows. (October 2016)

• Record Type: Journal Article
• Authors: Hsu, Hung-Chu; Martin, Calin Iulian
• Is Part Of: Nonlinear analysis. Volume 144(2016)
• Page Start: 1
• Page End: 9
• Publication Date: 2016-10
• Subjects: primary 35Q31 35Q35 -- secondary 35Q86; Azimuthal flows -- Cylindrical coordinates -- Coriolis force -- Surface tension -- Implicit function theorem; 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.2016.05.019
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We dedicate this paper to the investigation of certain special types of geophysical water flows arising in the equatorial ocean which are driven by gravity and surface tension. To be more specific, we consider steady flows–written in cylindrical coordinates–which are moving in the azimuthal direction, with no variation in this direction, and which exhibit a vertical structure and allow for a surface distortion. Using a functional analytic approach we prove that any small deviation of the pressure function from the pressure required to maintain the free surface flat and undisturbed gives rise to a genuine wave solution.