A consistent stochastic large-scale representation of the Navier-Stokes equations

Autor: Debussche, Arnaud, Hug, Berenger, Memin, Etienne

In this paper we analyze the theoretical properties of a stochastic representation of the incompressible Navier-Stokes equations defined in the framework of the modeling under location uncertainty (LU). This setup built from a stochastic version of t

Externí odkaz: http://arxiv.org/abs/2207.07472

Modeling Under Location Uncertainty: A Convergent Large-Scale Representation of the Navier-Stokes Equations

Autor: Debussche, Arnaud, Hug, Berenger, Mémin, Etienne

Publikováno v: Stochastic Transport in Upper Ocean Dynamics
Stochastic Transport in Upper Ocean Dynamics, 10, Springer International Publishing, pp.15-26, 2023, Mathematics of Planet Earth, ⟨10.1007/978-3-031-18988-3_2⟩
Mathematics of Planet Earth ISBN: 9783031189876

We construct martingale solutions for the stochastic Navier-Stokes equations in the framework of the modelling under location uncertainty (LU). These solutions are pathwise and unique when the spatial dimension is 2D. We then prove that if the noise

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6dd4405df4b0b71292b644da76628cc5
https://hal.science/hal-03910767/document

Ensemble forecasts in reproducing kernel Hilbert space family: dynamical systems in Wonderland

Autor: Hug, Berenger, Mémin, Etienne, Tissot, Gilles

A methodological framework for ensemble-based estimation and simulation of high dimensional dynamical systems such as the oceanic or atmospheric flows is proposed. To that end, the dynamical system is embedded in a family ofreproducing kernel Hilbert

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::b059d0e15c89c32c48701bdbbf185c28
https://hal.inria.fr/hal-03740500