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math.AP2022★ 14 cited
A consistent stochastic large-scale representation of the Navier-Stokes equations
Arnaud Debussche, Berenger Hug, Etienne Memin
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 loca…
math.AP2022★ 1 cited
Hamiltonian formulation of the stochastic surface wave problem
Evgueni Dinvay, Etienne Memin
We devise a stochastic Hamiltonian formulation of the water wave problem. This stochastic representation is built within the framework of the modelling under location uncertainty.…