A scaling limit for the stochastic mSQG equations with multiplicative transport noises-Reference-Cited by-同舟云学术

A scaling limit for the stochastic mSQG equations with multiplicative transport noises

Published:2020-03-11 Issue:06 Volume:20 Page:2040001
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Luo Dejun¹²,Saal Martin³

Affiliation:

1. Key Laboratory of RCSDS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China

2. School of Mathematical Sciences, University of the Chinese Academy of Sciences, Beijing 100049, P. R. China

3. Department of Mathematics, TU Darmstadt, Schlossgartenstr. 7, 64289 Darmstadt, Germany

Abstract

We consider on the 2D torus the modified Surface Quasi-Geostrophic (mSQG) equation with [Formula: see text]-initial data and perturbed by multiplicative transport noise. Under a suitable scaling of the noises, we show that the solutions converge weakly to the unique solution of the dissipative mSQG equation.

Funder

National Natural Science Foundation of China

Youth Innovation Promotion Association of the Chinese Academy of Sciences

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493720400018

Reference17 articles.

1. Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids

2. Uniqueness of solutions of the stochastic Navier–Stokes equation with invariant measure given by the enstrophy