Global diffeomorphism of the Lagrangian flow-map defining Equatorially trapped water waves
Analysis of PDEs
2015-05-08 v1
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.
Keywords
Cite
@article{arxiv.1505.01773,
title = {Global diffeomorphism of the Lagrangian flow-map defining Equatorially trapped water waves},
author = {Silvia Sastre-Gomez},
journal= {arXiv preprint arXiv:1505.01773},
year = {2015}
}