We study a mean field approximation for the 2D Euler vorticity equation driven by a transport noise. We prove that the Euler equations can be approximated by interacting point vortices driven by a regularized Biot-Savart kernel and the same common noise. The approximation happens by sending the number of particles N to infinity and the regularization in the Biot-Savart kernel to 0, as a suitable function of N.
Regularized vortex approximation for 2D Euler equations with transport noise / M. Coghi, M. Maurelli. - In: STOCHASTICS AND DYNAMICS. - ISSN 0219-4937. - (2020). [Epub ahead of print] [10.1142/S021949372040002X]
Regularized vortex approximation for 2D Euler equations with transport noise
M. Maurelli
Secondo
2020
Abstract
We study a mean field approximation for the 2D Euler vorticity equation driven by a transport noise. We prove that the Euler equations can be approximated by interacting point vortices driven by a regularized Biot-Savart kernel and the same common noise. The approximation happens by sending the number of particles N to infinity and the regularization in the Biot-Savart kernel to 0, as a suitable function of N.File | Dimensione | Formato | |
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