Zobrazeno 1 - 10
of 276
pro vyhledávání: '"Mémin, Etienne"'
Autor:
Debussche, Arnaud, Mémin, Etienne
This work investigates variational frameworks for modeling stochastic dynamics in incompressible fluids, focusing on large-scale fluid behavior alongside small-scale stochastic processes. The authors aim to develop a coupled system of equations that
Externí odkaz:
http://arxiv.org/abs/2409.12654
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 versions of the Serre-Green- Nagdi, Boussinesq and classical shallow
Externí odkaz:
http://arxiv.org/abs/2407.02298
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 sit between incompressible 3D LU Navier-Stokes equations and standard
Externí odkaz:
http://arxiv.org/abs/2407.02289
With a new unifying model for layered rotating shallow-water (RSW) and quasi-geostrophic (QG) equations, this paper sheds light on the relation between these two sets of equations. We propose here a new formulation of the quasi-geostrophic equations
Externí odkaz:
http://arxiv.org/abs/2403.10199
The aim of this paper is to provide a stochastic version under location uncertainty of the compressible Navier-Stokes equations. The modelling under location uncertainty setting is used here to derive a physically consistent stochastic dynamical syst
Externí odkaz:
http://arxiv.org/abs/2309.12077
In recent years, stochastic parametrizations have been ubiquitous in modelling uncertainty in fluid dynamics models. One source of model uncertainty comes from the coarse graining of the fine-scale data and is in common usage in computational simulat
Externí odkaz:
http://arxiv.org/abs/2304.14216
In this paper, we investigate the wave solutions of a stochastic rotating shallow water model. This approximate model provides an interesting simple description of the interplay between waves and random forcing ensuing either from the wind or coming
Externí odkaz:
http://arxiv.org/abs/2304.10183
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 of reproducing kernel Hilber
Externí odkaz:
http://arxiv.org/abs/2207.14653
Stochastic linear modelling proposed in Tissot, M\'emin & Cavalieri (J. Fluid Mech., vol. 912, 2021, A51) is based on classical conservation laws subject to a stochastic transport. Once linearised around the mean flow and expressed in the Fourier dom
Externí odkaz:
http://arxiv.org/abs/2207.12444
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