TY - JOUR
T1 - Motion of a vortex filament with axial flow in the half space
AU - Aiki, Masashi
AU - Iguchi, Tatsuo
N1 - Publisher Copyright:
© 2013 Elsevier Masson SAS. All rights reserved.
PY - 2014/11/1
Y1 - 2014/11/1
N2 - 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 dimensional half space. We prove the unique solvability of initial-boundary value problems as an attempt to analyze the motion of a tornado.
AB - 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 dimensional half space. We prove the unique solvability of initial-boundary value problems as an attempt to analyze the motion of a tornado.
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U2 - 10.1016/j.anihpc.2013.09.004
DO - 10.1016/j.anihpc.2013.09.004
M3 - Article
AN - SCOPUS:84912150424
VL - 31
SP - 1311
EP - 1335
JO - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
JF - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
SN - 0294-1449
IS - 6
ER -