Now showing items 1-3 of 3

  • Dynamics of Nearly Circular Vortex Filaments 

    Nelson, Sybil Prince (2014-08-25)
    We derive a model for the dynamics of a pair of nearly-circular vortex filaments, and obtain a system of coupled partial differential equations that incorporate both the self-induced dynamics due to the vorticity of each ...
  • On the Conserved Quantities of the Vortex Filament Equation 

    Fenici, Elena Cristina (2014-08-28)
    In this Master Thesis, we take a closer look at the family of conserved quantities of the Vortex Filament Equation (VFE), a model of vortex filament dynamics in an ideal fluid and a well-known example of completely integrable ...
  • Vortex filament equation and its solutions and energies 

    Epperson, Kelly Scott (2014-08-18)
    First, we will give the derivation of the Vortex Filament Equation (VFE) and discuss the concept of conserved quantities. Then we will discuss Fourier knots and their relationship to the VFE. We will also give some results ...