From point vortices to vortex patches in self-similar expanding configurations
Analysis of PDEs
2020-01-03 v2
Abstract
The main result is that given a generic self-similarly expanding configuration of 3 point vortices that start sufficiently far out, we can instead take compactly supported vorticity functions, and the resulting solution to 2D incompressible Euler will evolve like a nearby point vortex configuration for all time, with the size of the patches growing at most as and the distance between them growing as .
Keywords
Cite
@article{arxiv.1912.10862,
title = {From point vortices to vortex patches in self-similar expanding configurations},
author = {Samuel Zbarsky},
journal= {arXiv preprint arXiv:1912.10862},
year = {2020}
}
Comments
Updated and expanded introduction; some fixed typos