Motion of a Vortex Filament with Axial Flow in the Half Space
arXiv:1212.0197
Abstract
We consider a nonlinear third order dispersive equation which models the motion of a vortex filament immersed in an incompressible and inviscid fluid occupying the three dimensional half space. We prove the unique solvability of initial-boundary value problems as an attempt to analyze the motion of a tornado.
27 pages