Global diffeomorphism of the Lagrangian flow-map defining Equatorially trapped water waves

Silvia Sastre-Gomez

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arXiv · 1505.01773

Global diffeomorphism of the Lagrangian flow-map defining Equatorially trapped water waves

Silvia Sastre-Gomez

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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 in J. Geophys. Res., 117 (2012), is a global diffeomorphism from the Lagrangian labelling variables to the fluid domain beneath the free surface.

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Silvia Sastre-Gomez. 2015-05-07. Global diffeomorphism of the Lagrangian flow-map defining Equatorially trapped water waves. https://arxiv.org/abs/1505.01773

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