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-dyn2024
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…