Global Well-Posedness for Eddy-Mean Vorticity Equations on $\mathbb{T}^2$

Yuri Cacchió

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arXiv · 2303.00023

Global Well-Posedness for Eddy-Mean Vorticity Equations on $\mathbb{T}^2$

Yuri Cacchió

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Abstract

We consider the two-dimensional, $\beta$-plane, vorticity equations for an incompressible flow, where the zonally averaged flow varies on scales much larger than the perturbation. We prove global existence and uniqueness of the solution to the equations on periodic settings.

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Yuri Cacchió. 2023-02-28. Global Well-Posedness for Eddy-Mean Vorticity Equations on $\mathbb{T}^2$. https://arxiv.org/abs/2303.00023

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