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 / Coghi, M.; Maurelli, M.. - In: STOCHASTICS AND DYNAMICS. - ISSN 0219-4937. - 20:6(2020), pp. 204000201-204000227. [10.1142/S021949372040002X]

Regularized vortex approximation for 2D Euler equations with transport noise

Coghi M.;
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.
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Coghi, M.; Maurelli, M.
Regularized vortex approximation for 2D Euler equations with transport noise / Coghi, M.; Maurelli, M.. - In: STOCHASTICS AND DYNAMICS. - ISSN 0219-4937. - 20:6(2020), pp. 204000201-204000227. [10.1142/S021949372040002X]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11572/320289
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