TY - JOUR
T1 - Motion of a vortex filament in the half-space
AU - Aiki, Masashi
AU - Iguchi, Tatsuo
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/9
Y1 - 2012/9
N2 - A model equation for the motion of a vortex filament immersed in three-dimensional, incompressible and inviscid fluid is investigated as a preliminary 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.
AB - A model equation for the motion of a vortex filament immersed in three-dimensional, incompressible and inviscid fluid is investigated as a preliminary 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.
KW - Initial-boundary value problem
KW - Localized induction equation
KW - Vortex filament
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U2 - 10.1016/j.na.2012.04.034
DO - 10.1016/j.na.2012.04.034
M3 - Article
AN - SCOPUS:84862117577
SN - 0362-546X
VL - 75
SP - 5180
EP - 5185
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 13
ER -