Uniform Approximation of 2 Dimensional Navier--Stokes Equation by Stochastic Interacting Particle Systems

DOI10.1137/20M1328993zbMath1456.60165arXiv2004.00458OpenAlexW3094748912MaRDI QIDQ5130524

Marielle Simon, Christian Olivera, Franco Flandoli

Publication date: 4 November 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.00458

zbMATH Keywords

stochastic differential equationsanalytic semigroupvorticity equation2D Navier-Stokes equationmoderately interacting particle system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Navier-Stokes equations (35Q30) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic integral equations (60H20)

Related Items (6)

Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel ⋮ Scaling limit of moderately interacting particle systems with singular interaction and environmental noise ⋮ Recent progress on limit theorems for large stochastic particle systems ⋮ Uniform approximation of 2D Navier-Stokes equations with vorticity creation by stochastic interacting particle systems ⋮ Central limit theorems for global and local empirical measures of diffusions on Erdős-Rényi graphs ⋮ A law of large numbers for interacting diffusions via a mild formulation

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