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arXiv · 2209.12874

Dissipation properties of transport noise in the two-layer quasi-geostrophic model

Giulia Carigi·Eliseo Luongo
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Abstract

A stochastic version of the two-layer quasi-geostrophic model (2LQG) with multiplicative transport noise is analysed. This popular intermediate complexity model describes large scale atmosphere and ocean dynamics at the mid-latitudes. The transport noise, which acts on both layers, accounts for the unresolved small scales. After establishing the well-posedness of the perturbed equations, we show that, under a suitable scaling of the noise, the solutions converge to the deterministic 2LQG model with enhanced dissipation. Moreover, these solutions converge to the deterministic stationary ones on the long time horizon.

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Giulia Carigi, Eliseo Luongo. 2022-09-26. Dissipation properties of transport noise in the two-layer quasi-geostrophic model. https://doi.org/10.1007/s00021-023-00773-z

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