Title
Integrable Stationary Solution For The Fully Nonlinear Local Induction Equation Describing The Motion Of A Vortex Filament
Keywords
Local induction equation; Stationary solution; Vortex dynamics; Vortex filament
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. © Springer-Verlag 2011.
Publication Date
12-1-2012
Publication Title
Theoretical and Computational Fluid Dynamics
Volume
26
Issue
6
Number of Pages
591-594
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/s00162-011-0244-8
Copyright Status
Unknown
Socpus ID
84869082888 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84869082888
STARS Citation
Van Gorder, Robert A., "Integrable Stationary Solution For The Fully Nonlinear Local Induction Equation Describing The Motion Of A Vortex Filament" (2012). Scopus Export 2010-2014. 4116.
https://stars.library.ucf.edu/scopus2010/4116