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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…
math.PR2024
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…
math.PR2024
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…