Motion of a vortex filament in an external flow

Masashi Aiki; Tatsuo Iguchi

doi:10.1088/1361-6544/ab1312

Motion of a vortex filament in an external flow

Masashi Aiki, Tatsuo Iguchi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	2413-2425
Number of pages	13
Journal	Nonlinearity
Volume	32
Issue number	7
DOIs	https://doi.org/10.1088/1361-6544/ab1312
Publication status	Published - 2019 May 30

Keywords

External flow
Nonlinear partial differential equation
Unique solvability
Vortex filament

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/1361-6544/ab1312

Cite this

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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.",

keywords = "External flow, Nonlinear partial differential equation, Unique solvability, Vortex filament",

author = "Masashi Aiki and Tatsuo Iguchi",

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AB - 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.

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KW - Unique solvability

KW - Vortex filament

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Motion of a vortex filament in an external flow

Abstract

Keywords

ASJC Scopus subject areas

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