Masashi Aiki
Published 2017-04-13Version 1
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.
Initial-boundary value problems for the defocusing nonlinear Schrödinger equation in the semiclassical limit
The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line
The initial-boundary value problem for Schrödinger-Korteweg-de Vries system on the half-line
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