Motion of a vortex filament in an external flow

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 pos...

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Veröffentlicht in:Nonlinearity 2019-07, Vol.32 (7), p.2413-2425
Hauptverfasser: Aiki, Masashi, Iguchi, Tatsuo
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ab1312