8 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…
Interpretation of stochastic primitive equations with relaxed hydrostatic assumption as a higher order approximation of 3D stochastic Navier-Stokes
Arnaud Debussche, Étienne Mémin, Antoine Moneyron
In this paper, we investigate the convergence of solutions of a stochastic representation of the three-dimensional Navier-Stokes equations to those of their primitive equations cou…
Stochastic interpretations of the oceanic primitive equations with relaxed hydrostatic assumptions
Arnaud Debussche, Étienne Mémin, Antoine Moneyron
In this paper, we investigate how weakening the classical hydrostatic balance hypothesis impacts the well-posedness of the stochastic LU primitive equations. The models we consider…
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…
Derivation of stochastic models for coastal waves
Arnaud Debussche, Étienne Mémin, Antoine Moneyron
In this paper, we consider a stochastic nonlinear formulation of classical coastal waves models under location uncertainty (LU). In the formal setting investigated here, stochastic…
Some properties of a non-hydrostatic stochastic oceanic primitive equations model
Arnaud Debussche, Étienne Mémin, Antoine Moneyron
In this paper, we study how relaxing the classical hydrostatic balance hypothesis affects theoretical aspects of the LU primitive equations well-posedness. We focus on models that…