Motion of a vortex filament with axial flow in the half space

Masashi Aiki; Tatsuo Iguchi

doi:10.1016/j.anihpc.2013.09.004

Motion of a vortex filament with axial flow in the half space

Masashi Aiki, Tatsuo Iguchi

Department of Mathematics

Research output: Contribution to journal › Article

Abstract

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.

Original language	English
Pages (from-to)	1311-1335
Number of pages	25
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	31
Issue number	6
DOIs	https://doi.org/10.1016/j.anihpc.2013.09.004
Publication status	Published - 2014 Nov 1

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ASJC Scopus subject areas

Analysis
Mathematical Physics
Applied Mathematics

Cite this

Aiki, M., & Iguchi, T. (2014). Motion of a vortex filament with axial flow in the half space. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 31(6), 1311-1335. https://doi.org/10.1016/j.anihpc.2013.09.004

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Access to Document

10.1016/j.anihpc.2013.09.004