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arxiv: 2302.01458 · v1 · pith:2H4DPTPBnew · submitted 2023-02-02 · 🌀 gr-qc · physics.geo-ph

Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems

classification 🌀 gr-qc physics.geo-ph
keywords flowsgeophysicalanalogiesanaloguecosmologyequationsgravitysystems
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Formal analogies between the ordinary differential equations describing geophysical flows and Friedmann cosmology are developed. As a result, one obtains Lagrangian and Hamiltonian formulations of these equations, while laboratory experiments aimed at testing geophysical flows are shown to constitute analogue gravity systems for cosmology.

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