Motion of a Vortex Filament with Axial Flow in the Half Space
Analysis of PDEs
2012-12-04 v1
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.
Keywords
Cite
@article{arxiv.1212.0197,
title = {Motion of a Vortex Filament with Axial Flow in the Half Space},
author = {Masashi Aiki and Tatsuo Iguchi},
journal= {arXiv preprint arXiv:1212.0197},
year = {2012}
}
Comments
27 pages