Author

A. Debussche

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Preprint Aug 2026

Stochastic Transport and Wave Interactions for Multiscale Surface Gravity Waves: Part II: Kinetic Theory and Ocean-Wave Applications

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 stochastic wave dynamics coupled to transport dynamics for the small-scale correlation modes. Within this framework, we develop, in the deep-w...

E. Mémin, B. Chapron, A. Debussche et al. · 1 citation

Preprint Sep 2026

Well-posedness of a stochastic Navier-Stokes system with dynamically coupled subgrid scales

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 Navier--Stokes stochastic PDE to an infinite family of linearized Navier-Stokes equations for the noise correlation modes. These latter equations...

A. Debussche, E. Mémin, Sébastien Moskowitz · 0 citations

Preprint Aug 2026

Coupled stochastic variational principles for multiscale surface gravity waves -- Part I: theoretical framework

This paper develops a comprehensive stochastic variational framework for surface gravity waves. Starting from Luke's variational principle for irrotational, incompressible free-surface flow, we introduce a decomposition of the velocity potential into a large-scale deterministic component and a regularized stochastic no...

E. Mémin, A. Debussche · 1 citation