On the initial-boundary value problem for a vortex filament in an external flow under the localized induction approximation

DOI10.1080/00411450008205897zbMath0998.76005OpenAlexW1969350258MaRDI QIDQ2720989

Takahiro Nishiyama

Publication date: 28 June 2001

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450008205897

zbMATH Keywords

initial-boundary value problemexistence of solutionvortex filamentexternal flowlocalized induction approximation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Cites Work

• Unnamed Item
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• On the continuous limit for a system of classical spins
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• Dynamics of a vortex filament in a shear flow
• The contributions of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics
• Initial and Initial-Boundary Value Problems for a Vortex Filament with or without Axial Flow
• A soliton on a vortex filament