Motion of a vortex filament in an external flow

Masashi Aiki, Tatsuo Iguchi

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Apr 13

ASJC Scopus subject areas

  • General

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