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5 papers
Stochastic compressible Navier-Stokes equations under location uncertainty and their approximations for ocean modelling
Gilles Tissot, Ãtienne 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…
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…
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…