Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation
Analysis of PDEs
2021-08-19 v2
Abstract
We construct co-rotating and traveling vortex sheets for 2D incompressible Euler equation, which are supported on several small closed curves. These examples represent a new type of vortex sheet solutions other than two known classes. The construction is based on Birkhoff-Rott operator, and accomplished by using implicit function theorem at point vortex solutions with suitably chosen function spaces.
Cite
@article{arxiv.2108.06909,
title = {Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation},
author = {Daomin Cao and Guolin Qin and Changjun Zou},
journal= {arXiv preprint arXiv:2108.06909},
year = {2021}
}
Comments
27 pages