Title

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

Authors

Authors

R. A. Van Gorder

Comments

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Abbreviated Journal Title

Theor. Comput. Fluid Dyn.

Keywords

Vortex dynamics; Vortex filament; Local induction equation; Stationary; solution; Mechanics; Physics, Fluids & Plasmas

Abstract

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.

Journal Title

Theoretical and Computational Fluid Dynamics

Volume

26

Issue/Number

6

Publication Date

1-1-2012

Document Type

Article

DOI Link

http://dx.doi.org/10.1007/s00162-011-0244-8

Language

English

First Page

591

Last Page

594

WOS Identifier

WOS:000310538000007

ISSN

0935-4964

Recommended Citation

"Integrable stationary solution for the fully nonlinear local induction equation describing the motion of a vortex filament" (2012). Faculty Bibliography 2010s. 3428.
https://stars.library.ucf.edu/facultybib2010/3428