Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839571 | Nonlinear Analysis: Theory, Methods & Applications | 2015 | 7 Pages |
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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Authors
Silvia Sastre-Gomez,