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arXiv · 2108.06909

Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation

Daomin Cao·Guolin Qin·Changjun Zou
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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.

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Daomin Cao, Guolin Qin, Changjun Zou. 2021-08-16. Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation. https://arxiv.org/abs/2108.06909

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