2 papers
math.AP2024
Long-time behavior of an Arc-shaped Vortex Filament and its Application to the Stability of a Circular Vortex Filament
Masashi Aiki
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 s…
math.AP2010
Motion of a Vortex Filament in the Half Space
Masashi Aiki, Tatsuo Iguchi
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 t…