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math.PR2025
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…
math.PR2024
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…