Motion of a Vortex Filament in the Half Space

Details Motion of a Vortex Filament in the Half Space Motion of a Vortex Filament in the Half Space

2010-06-20

arxiv.org/abs/1006.3905v1

Mathematics

Analysis of PDEs

8 pages

Scientific paper

A model equation for the motion of a vortex filament immersed in three
dimensional, incompressible and inviscid fluid is investigated as a humble
attempt to model the motion of a tornado. We solve an initial-boundary value
problem in the half space where we impose a boundary condition in which the
vortex filament is allowed to move on the boundary.

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