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arXiv · 1212.0197

Motion of a Vortex Filament with Axial Flow in the Half Space

Masashi Aiki·Tatsuo Iguchi
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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.

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Masashi Aiki, Tatsuo Iguchi. 2012-12-02. Motion of a Vortex Filament with Axial Flow in the Half Space. https://arxiv.org/abs/1212.0197

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