85 citations · 88 across the 11 of their papers we have counts for
11 papers
Well-posedness of a stochastic Navier-Stokes system with dynamically coupled subgrid scales
Arnaud Debussche, Etienne Mémin, Sébastien Moskowitz
We study a stochastic Navier--Stokes system in which the spatial modes of the transport noise evolve dynamically and are coupled to the resolved velocity. The model couples a Navie…
Stochastic Transport and Wave Interactions for Multiscale Surface Gravity Waves: Part II: Kinetic Theory and Ocean-Wave Applications
E. Mémin, B. Chapron, A. Debussche +1
Building on the stochastic variational framework established in the companion paper, we investigate here the linearized stochastic water-wave system, consisting of a large-scale st…
Coupled stochastic variational principles for multiscale surface gravity waves -- Part I: theoretical framework
Etienne Mémin, Arnaud Debussche
This paper develops a comprehensive stochastic variational framework for surface gravity waves. Starting from Luke's variational principle for irrotational, incompressible free-sur…
A Stochastic Ekman-Stokes Model for Coupled Ocean-Wave-Atmosphere Dynamics
Long Li, Etienne Mémin, Bertrand Chapron
Accurate representation of atmosphere-ocean boundary layers, including the interplay of turbulence, surface waves, and air-sea fluxes, remains a challenge in geophysical fluid dyna…
Variational principles for fully coupled stochastic fluid dynamics across scales
Arnaud Debussche, Etienne Mémin
This work investigates variational frameworks for modeling stochastic dynamics in incompressible fluids, focusing on large-scale fluid behavior alongside small-scale stochastic pro…
Quasi-geostrophic projection of rotating shallow-water equations
Louis Thiry, Long Li, Etienne Mémin +1
With a new unifying model for layered rotating shallow-water (RSW) and quasi-geostrophic (QG) equations, this paper sheds light on the relation between these two sets of equations.…
Linear wave solutions of a stochastic shallow water model
Etienne Mémin, Long Li, Noé Lahaye +2
In this paper, we investigate the wave solutions of a stochastic rotating shallow water model. This approximate model provides an interesting simple description of the interplay be…
Comparison of Stochastic Parametrization Schemes using Data Assimilation on Triad Models
Bertrand Chapron, Dan Crisan, Darryl Holm +3
In recent years, stochastic parametrizations have been ubiquitous in modelling uncertainty in fluid dynamics models. One source of model uncertainty comes from the coarse graining…
Input-output analysis of the stochastic Navier-Stokes equations: application to turbulent channel flow
Gilles Tissot, André Cavalieri, Etienne Mémin
Stochastic linear modelling proposed in Tissot, Mémin & Cavalieri (J. Fluid Mech., vol. 912, 2021, A51) is based on classical conservation laws subject to a stochastic transport. O…
Stochastic data-driven parameterization of unresolved mesoscale eddies
Long Li, Bruno Deremble, Noé Lahaye +1
In this work, a stochastic representation based on a physical transport principle is proposed to account for mesoscale eddy effects on the large-scale oceanic circulation. This sto…
Geophysical flows under location uncertainty, Part I Random transport and general models
Valentin Resseguier, Etienne Mémin, Bertrand Chapron
A stochastic flow representation is considered with the Eulerian velocity decomposed between a smooth large scale component and a rough small-scale turbulent component. The latter…