The interaction of two unsteady point vortex sources in a deformation field in 2D incompressible flows

DOI10.1134/S1560354721060034zbMath1478.76073OpenAlexW4200325508MaRDI QIDQ2074769

Armand Vic, Jonathan Gula, Xavier Carton

Publication date: 10 February 2022

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354721060034

zbMATH Keywords

multiple time scale expansionsystem of ODEdispersion of passive tracersequilibrium point and stabilityvortex-source dynamicswind oceanic vortex interaction

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05)

Related Items (1)

Formation of small-scale vortices in the core of a large merged vortex

Cites Work

• The dynamics of vortex sources in a deformation flow
• On the problem of motion of vortex sources on a plane
• 2D vortex interaction in a non-uniform flow
• Point-vortex interaction in an oscillatory deformation field: Hamiltonian dynamics, harmonic resonance and transition to chaos
• Vortex merger near a topographic slope in a homogeneous rotating fluid
• Parametric resonance with a point-vortex pair in a nonstationary deformation flow
• Finite-core hetons: stability and interactions
• Integrable, Chaotic, and Turbulent Vortex Motion in Two-Dimensional Flows
• Vortex merger in rotating stratified flows
• The critical merger distance between two co-rotating quasi-geostrophic vortices
• The merger of vertically offset quasi-geostrophic vortices
• A general theory for two-dimensional vortex interactions
• Point vortex dynamics in the post-Aref era
• The stability and the nonlinear evolution of quasi-geostrophic hetons
• Quasi-geostrophic shallow-water doubly-connected vortex equilibria and their stability
• Baroclinic multipole evolution in shear and strain

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