Daomin Cao, Guolin Qin, Changjun Zou
Published 2021-08-16Version 1
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.
Axi-symmetrization near point vortex solutions for the 2D Euler equation
Vorticity convergence from Boltzmann to 2D incompressible Euler equations below Yudovich class
A solution of 2D incompressible Euler equation with algebraic spiral roll-up in the presence of Wiener type perturbation
![QR code for arXiv:2108.06909 [math.AP]](http://oss.arxitics.com/images/favicon.svg)