Notes on Vortex Filament Equation

SONG Chong

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Notes on Vortex Filament Equation

SONG Chong

School of Mathematical Sciences, Xiamen University, Xiamen 361005

*Correspondence author

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Funding: SRFDP （No.20120121120022）

Opened online:16 May 2016

Accepted by: none

Citation: SONG Chong.Notes on Vortex Filament Equation[OL]. [16 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4687174

Vortex filament equation is one of the most important equations in classical theory of fluid dynamics. In this note, we study the properties of the evolution surface of the vortex filament and give the reduced forms of the vortex filament equation in different gauge.

Keywords:geometric analysis, vortex filament dynamics, gauge transformation.

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