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arXiv · 2502.12220

A thermal Green-Naghdi model with time dependent bathymetry and complete Coriolis force

Darryl D. Holm·Oliver D. Street
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Abstract

This paper extends the theoretical Euler-Poincar\'e framework for modelling ocean mixed layer dynamics. Through a symmetry-broken Lie group invariant variational principle, we derive a generalised Green-Naghdi equation with time dependent bathymetry, a complete Coriolis force, and inhomogeneity of the thermal buoyancy. The nature of the model derived here lends it a potential future application to wave dynamics generated by changes to the bathymetry.

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Darryl D. Holm, Oliver D. Street. 2025-02-17. A thermal Green-Naghdi model with time dependent bathymetry and complete Coriolis force. https://arxiv.org/abs/2502.12220

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