Dissipation properties of transport noise in the two-layer quasi-geostrophic model
- Authors: Giulia Carigi, Eliseo Luongo
- Preprint year: 2022
- First public date: 2022-09-26
- arXiv: 2209.12874
- Status: Published
- Publication type: Journal article
- Publication year: 2023
- Journal: Journal of Mathematical Fluid Mechanics 25, 28 (2023)
- DOI: 10.1007/s00021-023-00773-z
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.