Parametric resonance with a point-vortex pair in a nonstationary deformation flow

DOI10.1016/j.physleta.2011.12.016zbMath1255.76034OpenAlexW1982623026MaRDI QIDQ1933172

Yanyan Li

Publication date: 22 January 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.12.016

zbMATH Keywords

Riccati equationparametric resonancepoint-vortex pairnonstationary shear flow

Mathematics Subject Classification ID

Shear flows and turbulence (76F10) Resonance in context of PDEs (35B34) Viscous vortex flows (76D17) Parametrices in context of PDEs (35A17)

Related Items (8)

Parametric instability of a many point-vortex system in a multi-layer flow under linear deformation ⋮ The dynamics of vortex sources in a deformation flow ⋮ Local parametric instability near elliptic points in vortex flows under shear deformation ⋮ Resonance phenomena in a two-layer two-vortex shear flow ⋮ Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability ⋮ A modification of the invariant imbedding method for a singular boundary value problem ⋮ Stability of Motion Induced by a Point Vortex Under Arbitrary Polynomial Perturbations ⋮ The interaction of two unsteady point vortex sources in a deformation field in 2D incompressible flows

Cites Work

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• Singularities motion equations in 2-dimensional ideal hydrodynamics of incompressible fluid
• Point-vortex interaction in an oscillatory deformation field: Hamiltonian dynamics, harmonic resonance and transition to chaos
• On changing the size of the atmosphere of a vortex pair embedded in a periodic external shear flow
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
• The emergence of isolated coherent vortices in turbulent flow
• Baroclinic multipole evolution in shear and strain
• Estimating the size of the regular region of a topographically trapped vortex

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