# Vortex collapses for the Euler and Quasi-Geostrophic models

@article{GodardCadillac2021VortexCF, title={Vortex collapses for the Euler and Quasi-Geostrophic models}, author={Ludovic Godard-Cadillac}, journal={Discrete \& Continuous Dynamical Systems}, year={2021} }

This article studies point-vortex models for the Euler and surface quasi-geostrophic equations. In the case of an inviscid fluid with planar motion, the point-vortex model gives account of dynamics where the vorticity profile is sharply concentrated around some points and approximated by Dirac masses. This article contains two main theorems and also smaller propositions with several links between each other. The first main result focuses on the Euler point-vortex model, and under the non…

## 3 Citations

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In this paper, we prove that in bounded planar domains with C2,α boundary, for almost every initial condition in the sense of the Lebesgue measure, the point vortex system has a global solution,…

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In this paper, we prove that in bounded planar domains with C2,α boundary, for almost every initial condition in the sense of the Lebesgue measure, the point vortex system has a global solution,…

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