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arXiv · 1704.04003

Motion of a Vortex Filament in an External Flow

Masashi Aiki·Tatsuo Iguchi
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Abstract

We consider a nonlinear model equation describing the motion of a vortex filament immersed in an incompressible and inviscid fluid. In the present problem setting, we also take into account the effect of external flow. We prove the unique solvability, locally in time, of an initial value problem posed on the one dimensional torus. The problem describes the motion of a closed vortex filament.

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Masashi Aiki, Tatsuo Iguchi. 2017-04-13. Motion of a Vortex Filament in an External Flow. https://arxiv.org/abs/1704.04003

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