Claudia Giesbert

Mario Maurelli (Università degli Studi di Milano, Italien) via ZOOM: 2D Euler equations with transport noise: bounded and measure-valued vorticity

Wednesday, 12.05.2021 14:00

Mathematik und Informatik

Abstract: We consider the incompressible Euler equations in two dimensions perturbed by a suitable noise term, called transport noise (on the vorticity). This choice of noise keeps the enstrophy preserved, as in the deterministic case. We show well-posedness among bounded vorticity solutions and existence among nonnegative $H^{-1}$ vorticity solutions, thus generalizing to the stochastic case classical results by Yudovich and Delort. If time allows, we also show that bounded solutions can be approximated by a system of interacting vortices. Based on joint works with Zdzislaw Brzezniak, Michele Coghi and Franco Flandoli.

Angelegt am Tuesday, 13.04.2021 11:29 von Claudia Giesbert
Geändert am Wednesday, 12.05.2021 11:32 von Claudia Giesbert
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