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

Masashi Aiki, Tatsuo Iguchi

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1311-1335
Number of pages25
JournalAnnales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
Volume31
Issue number6
DOIs
Publication statusPublished - 2014 Nov 1

Fingerprint

Vortex Filament
Tornadoes
Axial flow
Half-space
Boundary value problems
Vortex flow
Dispersive Equations
Fluids
Unique Solvability
Motion
Initial-boundary-value Problem
Fluid
Three-dimensional
Model

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics

Cite this

Motion of a vortex filament with axial flow in the half space. / Aiki, Masashi; Iguchi, Tatsuo.

In: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, Vol. 31, No. 6, 01.11.2014, p. 1311-1335.

Research output: Contribution to journalArticle

@article{7bd9b4d6489f495590a0eb4a4383bf38,
title = "Motion of a vortex filament with axial flow in the half space",
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.",
author = "Masashi Aiki and Tatsuo Iguchi",
year = "2014",
month = "11",
day = "1",
doi = "10.1016/j.anihpc.2013.09.004",
language = "English",
volume = "31",
pages = "1311--1335",
journal = "Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis",
issn = "0294-1449",
publisher = "Elsevier Masson SAS",
number = "6",

}

TY - JOUR

T1 - Motion of a vortex filament with axial flow in the half space

AU - Aiki, Masashi

AU - Iguchi, Tatsuo

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.

UR - http://www.scopus.com/inward/record.url?scp=84912150424&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84912150424&partnerID=8YFLogxK

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 -