• 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}
}
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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