Motion of a vortex filament in the half-space

DOI10.1016/j.na.2012.04.034zbMath1395.76018arXiv1006.3905OpenAlexW2116935978MaRDI QIDQ435101

Masashi Aiki, Tatsuo Iguchi

Publication date: 16 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3905

zbMATH Keywords

existenceinitial-boundary value problemuniquenesslocalized induction equationtornado model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Meteorology and atmospheric physics (86A10)

Related Items (4)

Motion of a vortex filament on a slanted plane ⋮ The Hasimoto Transformation for a Finite Length Vortex Filament and its Application ⋮ Motion of a vortex filament in an external flow ⋮ Motion of a vortex filament with axial flow in the half space

Cites Work

• Solvability of the localized induction equation for vortex motion
• The vortex filament equation and a semilinear Schrödinger equation in a Hermitian symmetric space
• Initial and Initial-Boundary Value Problems for a Vortex Filament with or without Axial Flow
• A soliton on a vortex filament
• Unnamed Item

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