Motion of a vortex filament in an external flow. (30th May 2019)

• Record Type: Journal Article
• Authors: Aiki, Masashi; Iguchi, Tatsuo
• Is Part Of: Nonlinearity. Volume 32:Number 7(2019)
• Page Start: 2413
• Page End: 2425
• Publication Date: 2019-05-30
• Subjects: nonlinear partial differential equation -- vortex filament -- external flow -- unique solvability; 35Q35; Nonlinear theories -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis; Nonlinear theories; Periodicals; 515
• DOI: 10.1088/1361-6544/ab1312
• Languages: English
• ISSNs: 0951-7715

Abstract

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.