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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