# 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} }

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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