Integrable stationary solution for the fully nonlinear local induction equation describing the motion of a vortex filament

被引：0
|
作者：
Robert A. Van Gorder
机构：
[1] University of Central Florida,Department of Mathematics
来源：
Theoretical and Computational Fluid Dynamics | 2012年 / 26卷
关键词：
Vortex dynamics; Vortex filament; Local induction equation; Stationary solution;
D O I：
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学科分类号：
摘要：
In this brief communication, we demonstrate an implicit exact stationary solution to the fully nonlinear local induction equation describing the motion of a vortex filament. The solution, which is periodic in the spatial variable, is governed by a second-order nonlinear equation that has two exact first integrals.
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页码：591 / 594
页数：3
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