Motion of a vortex filament in an external flow

Masashi Aiki; Tatsuo Iguchi

Motion of a vortex filament in an external flow

Department of Mathematics

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

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.

MSC Codes 35Q35

Original language	English
Journal	Unknown Journal
Publication status	Published - 2017 Apr 13

ASJC Scopus subject areas

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title = "Motion of a vortex filament in an external flow",

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.MSC Codes 35Q35",

author = "Masashi Aiki and Tatsuo Iguchi",

year = "2017",

month = apr,

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language = "English",

journal = "Mathematical Social Sciences",

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AU - Aiki, Masashi

AU - Iguchi, Tatsuo

PY - 2017/4/13

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N2 - 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.MSC Codes 35Q35

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.MSC Codes 35Q35

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JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

SN - 0165-4896

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