5 papers
Interpretation of stochastic primitive equations with relaxed hydrostatic assumption as a higher order approximation of 3D stochastic Navier-Stokes
Arnaud Debussche, Ãtienne 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, Ãtienne 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…
Some properties of a non-hydrostatic stochastic oceanic primitive equations model
Arnaud Debussche, Ãtienne 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…
Derivation of stochastic models for coastal waves
Arnaud Debussche, Ãtienne 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…