Motion of a Vortex Filament on a Slanted Plane
arXiv:1704.04006
Abstract
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.
arXiv comment45 pages