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arxiv: 1704.04006 · v1 · pith:F4X6QP4Mnew · submitted 2017-04-13 · 🧮 math.AP

Motion of a Vortex Filament on a Slanted Plane

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keywords filamentmotionvortexdescribingequationplaneslantedconsider
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We consider a nonlinear model equation, known as the Localized Induction Equation, describing the motion of a vortex filament immersed in an incompressible and inviscid fluid. We prove the unique solvability of an initial-boundary value problem describing the motion of a vortex filament on a slanted plane.

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