Motion of a vortex filament on a slanted plane

DOI10.1016/j.jde.2017.07.036zbMath1391.35321arXiv1704.04006OpenAlexW2963998107MaRDI QIDQ2404273

Masashi Aiki

Publication date: 18 September 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04006

Mathematics Subject Classification ID

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

Related Items (1)

The Hasimoto Transformation for a Finite Length Vortex Filament and its Application

Cites Work

• Motion of a vortex filament in the half-space
• Scattering for 1D cubic NLS and singular vortex dynamics
• On an initial-boundary value problem for the Stokes systems arising in the study of a problem with a free boundary
• On the stability of a singular vortex dynamics
• Solvability of the localized induction equation for vortex motion
• The vortex filament equation and a semilinear Schrödinger equation in a Hermitian symmetric space
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Formation of Singularities and Self-Similar Vortex Motion Under the Localized Induction Approximation†
• Differentiability of Solutions to Hyperbolic Initial Boundary Value Problems
• 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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