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math.AP2012
Motion of a Vortex Filament with Axial Flow in the Half Space
Masashi Aiki, Tatsuo Iguchi
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 dimensiona…
math.AP2012
Solvability of an Initial-Boundary Value Problem for a Second Order Parabolic System with a Third Order Dispersion Term
Masashi Aiki, Tatsuo Iguchi
We consider a linear second order parabolic system with a third order dispersion term. This type of system arises when considering a nonlinear model equation describing the motion…