Article ID Journal Published Year Pages File Type
839571 Nonlinear Analysis: Theory, Methods & Applications 2015 7 Pages PDF
Abstract

The aim of this paper is to prove that a three dimensional Lagrangian flow which defines equatorially trapped water waves is dynamically possible. This is achieved by applying a mixture of analytical and topological methods to prove that the nonlinear exact solution to the geophysical governing equations, derived by Constantin (2012), is a global diffeomorphism from the Lagrangian labelling variables to the fluid domain beneath the free surface.

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Physical Sciences and Engineering Engineering Engineering (General)
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