Motion of a Vortex Filament in the Half Space
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🧮 math.AP
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filamentmotionvortexboundaryhalfmodelspaceallowed
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A model equation for the motion of a vortex filament immersed in three dimensional, incompressible and inviscid fluid is investigated as a humble attempt to model the motion of a tornado. We solve an initial-boundary value problem in the half space where we impose a boundary condition in which the vortex filament is allowed to move on the boundary.
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