Motion and Decay of Vortex Filaments — Matched Asymptotics

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It is well known that the inviscid theory of a vortex line C i.e., (or a point vortex in a planar flow) with circulation Γ has been successful in modeling the flow field away from a slender vortex filament, which is a vorticity field concentrated around the line C (or center) with total strength Γ.