Vortex dynamics for 2D Euler flows with unbounded vorticity

@article{Ceci2019VortexDF,
  title={Vortex dynamics for 2D Euler flows with unbounded vorticity},
  author={Stefano Ceci and Christian Seis},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
It is well-known that the dynamics of vortices in an ideal incompressible two-dimensional fluid contained in a bounded not necessarily simply connected smooth domain is described by the Kirchhoff--Routh point vortex system. In this paper, we revisit the classical problem of how well solutions to the Euler equations approximate these vortex dynamics and extend previous rigorous results to the case where the vorticity field is unbounded. More precisely, we establish estimates for the $2… 
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