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.
Global Well-Posedness for Eddy-Mean Vorticity Equations on $\mathbb{T}^2$ / Cacchio, Yuri. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - (2023).
Global Well-Posedness for Eddy-Mean Vorticity Equations on $\mathbb{T}^2$
Yuri Cacchio
2023
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.File allegati a questo prodotto
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