Solvability of Equations for Motion of a Vortex Filament with or without Axial Flow
Solvability of Equations for Motion of a Vortex Filament with or without Axial Flow
It is known that the motion of a vortex filament with axial flow in a perfect fluid is approximately described by a generalization of the localized induction equation. The unique solvability of the initial value problem for it is first established by parabolic regularization. As the axial flow effect vanishes, …