Masashi Aiki, Tatsuo Iguchi
Published 2010-06-20Version 1
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 tornado. We solve an initial-boundary value problem in the half space where we impose a boundary condition in which the vortex filament is allowed to move on the boundary.
Initial-Boundary value problem of the Navier-Stokes equations in the half space with nonhomogeneous data
Initial-boundary value problem of the Navier-Stokes system in the half space
Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation
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