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

    Authors

    R. A. Van Gorder

    Comments

    Authors: contact us about adding a copy of your work at [email protected]

    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

    Language

    English

    First Page

    591

    Last Page

    594

    WOS Identifier

    WOS:000310538000007

    ISSN

    0935-4964

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