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January 2020 Convergence of transport noise to Ornstein–Uhlenbeck for 2D Euler equations under the enstrophy measure
Franco Flandoli, Dejun Luo
Ann. Probab. 48(1): 264-295 (January 2020). DOI: 10.1214/19-AOP1360

Abstract

We consider the vorticity form of the 2D Euler equations which is perturbed by a suitable transport type noise and has white noise initial condition. It is shown that stationary solutions of this equation converge to the unique stationary solution of the 2D Navier–Stokes equation driven by the space-time white noise.

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Franco Flandoli. Dejun Luo. "Convergence of transport noise to Ornstein–Uhlenbeck for 2D Euler equations under the enstrophy measure." Ann. Probab. 48 (1) 264 - 295, January 2020. https://doi.org/10.1214/19-AOP1360

Information

Received: 1 June 2018; Revised: 1 February 2019; Published: January 2020
First available in Project Euclid: 25 March 2020

zbMATH: 07206758
MathSciNet: MR4079436
Digital Object Identifier: 10.1214/19-AOP1360

Subjects:
Primary: 35Q35
Secondary: 60H40

Rights: Copyright © 2020 Institute of Mathematical Statistics

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Vol.48 • No. 1 • January 2020
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