# 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…

## 4 Citations

On the dynamics of point vortices for the two-dimensional Euler equation with Lp vorticity

- Mathematics, PhysicsPhilosophical Transactions of the Royal Society A
- 2022

We study the evolution of solutions to the two-dimensional Euler equations whose vorticity is sharply concentrated in the Wasserstein sense around a finite number of points. Under the assumption that…

On the dynamics of vortices in viscous 2D flows

- Mathematics
- 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…

On the dynamics of point vortices for the 2D Euler equation with $L^p$ vorticity

- Mathematics, Physics
- 2021

We study the evolution of solutions to the 2D Euler equations whose vorticity is sharply concentrated in the Wasserstein sense around a finite number of points. Under the assumption that the…

Ju l 2 02 1 On the dynamics of point vortices for the 2 D Euler equation with L p vorticity

- Mathematics, Physics
- 2021

We study the evolution of solutions to the 2D Euler equations whose vorticity is sharply concentrated in the Wasserstein sense around a finite number of points. Under the assumption that the…

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