On the Existence of Leapfrogging Pair of Circular Vortex Filaments
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🧮 math.DS
math.AP
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filamentsleapfroggingpairvortexcircularconditionanalyzecoaxial
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We propose and analyze a system of nonlinear partial differential equations describing the motion of a pair of vortex filaments. Furthermore, for a pair of coaxial circular vortex filaments, we derive a condition for leapfrogging to occur and prove that the condition is necessary and sufficient for the occurrence of leapfrogging.
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