Motion of a vortex filament with axial flow in the half space |
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Institution: | Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, 223-8522, Japan |
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Abstract: | We consider a nonlinear third order dispersive equation which models the motion of a vortex filament immersed in an incompressible and inviscid fluid occupying the three dimensional half space. We prove the unique solvability of initial–boundary value problems as an attempt to analyze the motion of a tornado. |
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Keywords: | Vortex filament Initial–boundary value problem Nonlinear dispersive equation |
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