Traveling vortex pairs for 2D incompressible Euler equations
Analysis of PDEs
2020-12-22 v1
Abstract
In this paper, we study desingularization of vortices for the two-dimensional incompressible Euler equations in the full plane. We construct a family of steady vortex pairs for the Euler equations with a general vorticity function, which constitutes a desingularization of a pair of point vortices with equal magnitude and opposite signs. The results are obtained by using an improved vorticity method.
Cite
@article{arxiv.2012.10918,
title = {Traveling vortex pairs for 2D incompressible Euler equations},
author = {Daomin Cao and Shanfa Lai and Weicheng Zhan},
journal= {arXiv preprint arXiv:2012.10918},
year = {2020}
}