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math.PR2026
Well-posedness of a stochastic Navier-Stokes system with dynamically coupled subgrid scales
Arnaud Debussche, Etienne Mémin, Sébastien Moskowitz
We study a stochastic Navier--Stokes system in which the spatial modes of the transport noise evolve dynamically and are coupled to the resolved velocity. The model couples a Navie…
physics.flu-dyn2026
Stochastic Transport and Wave Interactions for Multiscale Surface Gravity Waves: Part II: Kinetic Theory and Ocean-Wave Applications
E. Mémin, B. Chapron, A. Debussche +1
Building on the stochastic variational framework established in the companion paper, we investigate here the linearized stochastic water-wave system, consisting of a large-scale st…
math-ph2026
Coupled stochastic variational principles for multiscale surface gravity waves -- Part I: theoretical framework
Etienne Mémin, Arnaud Debussche
This paper develops a comprehensive stochastic variational framework for surface gravity waves. Starting from Luke's variational principle for irrotational, incompressible free-sur…