Equilibria for the \(N\)-vortex-problem in a general bounded domain

DOI10.1016/j.jmaa.2015.08.055zbMathNonearXiv1502.06225OpenAlexW2964204400MaRDI QIDQ499231

Christian Kuhl

Publication date: 30 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06225

zbMATH Keywords

vortex dynamicsKirchhoff-Routh path function

Mathematics Subject Classification ID

Partial differential equations (35-XX) Calculus of variations and optimal control; optimization (49-XX)

Related Items (6)

Periodic solutions of singular first-order Hamiltonian systems of \(N\)-vortex type ⋮ Global continua of periodic solutions of singular first-order Hamiltonian systems of \(N\)-vortex type ⋮ Equilibria of vortex type Hamiltonians on closed surfaces ⋮ Periodic Solutions of N-Vortex Type Hamiltonian Systems near the Domain Boundary ⋮ Periodic solutions for the N-vortex problem via a superposition principle ⋮ Stability of periodic solutions of the \(N\)-vortex problem in general domains

Cites Work

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• Vortex Dynamics
• Existence and qualitative properties of concentrating solutions for the sinh-Poisson equation
• The \(N\)-vortex problem. Analytical techniques

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