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Stratified equatorial flows in cylindrical coordinates with surface tension

Abstract

This paper considers a mathematical model of steady flows of an inviscid and incompressible fluid moving in the azimuthal direction. The water density varies with depth and the waves are propagating under the force of gravity, over a flat bed and with a free surface, on which acts a force of surface tension. Our solution pertains to large scale equatorial dynamics of a fluid with free surface expressed in cylindrical coordinates. We also prove a regularity result for the free surface.

Authors

Cristina Gheorghe
Faculty of Mathematics and Computer Science, Babeş-Bolyai, Cluj-Napoca, Romania

Andrei Stan
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania 

Keywords

Azimuthal flows; Surface tension; Depth-dependent density; Implicit function theorem; Coriolis force; Cylindrical coordinates

Paper coordinates

C. Gheorghe, A. Stan, Stratified equatorial flows in cylindrical coordinates with surface tension, Monatsh. Math., 205 (2024), 497–509. https://doi.org/10.1007/s00605-024-02007-4

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Journal

Monath. Math.

Publisher Name

Springer

Print ISSN
Online ISSN

google scholar link

2024

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