Uniform approximation of 2$d$ Navier-Stokes equation by stochastic interacting particle systems

Autor: Christian Olivera, Marielle Simon, Franco Flandoli

Publikováno v: SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2020, 52 (6), ⟨10.1137/20M1328993⟩
SIAM Journal on Mathematical Analysis, 2020, 52 (6), ⟨10.1137/20M1328993⟩

We consider an interacting particle system modeled as a system of N stochastic differential equations driven by Brownian motions. We prove that the (mollified) empirical process converges, uniformly in time and space variables, to the solution of the

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https://hal.inria.fr/hal-02529632/document