3 papers
math.AP2026
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…
math.AP2025
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…
physics.flu-dyn2023
Stochastic compressible Navier-Stokes equations under location uncertainty and their approximations for ocean modelling
Gilles Tissot, Étienne Mémin, Quentin Jamet
This paper presents a joint theoretical and numerical study of a stochastic version of the compressible Navier-Stokes equations within the location uncertainty (LU) framework, appl…