On the stability of nearly parallel vortex filaments

DOI10.1007/s10884-006-9018-1zbMath1102.76012OpenAlexW2093714647MaRDI QIDQ852025

Gustavo Ponce

Publication date: 27 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10884-006-9018-1

zbMATH Keywords

existencepoint vorticesbi-normal equation

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Hydrodynamic stability (76E99) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (2)

Monotonicity and asymptotic analysis of the period function of nearly parallel vortex filaments model ⋮ Global existence and collisions for symmetric configurations of nearly parallel vortex filaments

Cites Work

• A mathematical introduction to fluid mechanics
• On the interaction of nearly parallel vortex filaments
• Vorticity and Incompressible Flow
• Helical vortices in swirl flow
• The contributions of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics
• Simplified equations for the interaction of nearly parallel vortex filaments
• A soliton on a vortex filament
• The \(N\)-vortex problem. Analytical techniques

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