Motion of a vortex filament in an external flow

Masashi Aiki, Tatsuo Iguchi

Research output: Contribution to journalArticle

Abstract

We consider a nonlinear model equation describing the motion of a vortex filament immersed in an incompressible and inviscid fluid. In the present problem setting, we also take into account the effect of external flow. We prove the unique solvability, locally in time, of an initial value problem posed on the one dimensional torus. The problem describes the motion of a closed vortex filament.

Original languageEnglish
Pages (from-to)2413-2425
Number of pages13
JournalNonlinearity
Volume32
Issue number7
DOIs
Publication statusPublished - 2019 May 30

Fingerprint

vortex filaments
Vortex Filament
Vortex flow
Unique Solvability
Motion
Initial value problems
incompressible fluids
boundary value problems
Nonlinear Model
Initial Value Problem
Torus
Fluid
Closed
Fluids
fluids

Keywords

  • External flow
  • Nonlinear partial differential equation
  • Unique solvability
  • Vortex filament

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Motion of a vortex filament in an external flow. / Aiki, Masashi; Iguchi, Tatsuo.

In: Nonlinearity, Vol. 32, No. 7, 30.05.2019, p. 2413-2425.

Research output: Contribution to journalArticle

Aiki, Masashi ; Iguchi, Tatsuo. / Motion of a vortex filament in an external flow. In: Nonlinearity. 2019 ; Vol. 32, No. 7. pp. 2413-2425.
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