• Corpus ID: 247447123

On the dynamics of vortices in viscous 2D flows

```@inproceedings{Ceci2022OnTD,
title={On the dynamics of vortices in viscous 2D flows},
author={Stefano Ceci and Christian Seis},
year={2022}
}```
• Published 14 March 2022
• Mathematics
We study the 2D Navier–Stokes solution starting from an initial vorticity mildly concentrated near N distinct points in the plane. We prove quantitative estimates on the propagation of concentration near a system of interacting point vortices introduced by Helmholtz and Kirchhoff. Our work extends the previous results in the literature in three ways: The initial vorticity is concentrated in a weak (Wasserstein) sense, it is merely Lp integrable for some p > 2, and the estimates we derive are…

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