Sastre Gómez, Silvia2022-10-312022-10-312015-09-15Sastre Gómez, S. (2015). Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves. Nonlinear Analysis, 125, 725-731. https://doi.org/10.1016/j.na.2015.06.017.0362-546Xhttps://hdl.handle.net/11441/138513The 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.application/pdf6 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Global diffeomorphismGeophysical water wavesExact and explicit solutioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.na.2015.06.017