On rectangular vortex lattices

DOI10.1016/j.aml.2009.07.022zbMath1257.31009OpenAlexW2024293318MaRDI QIDQ1049245

Darren G. Crowdy

Publication date: 8 January 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.07.022

zbMATH Keywords

conformal mappoint vortexdoubly periodic

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Discrete potential theory (31C20)

Related Items (5)

Fast evaluation of the fundamental singularities of two-dimensional doubly periodic Stokes flow ⋮ Shape calculus for vortex patch equilibria and its application to lattice configurations ⋮ The \(N\)-vortex problem in a doubly periodic rectangular domain with constant background vorticity ⋮ Dipole interactions in doubly periodic domains ⋮ Exact solution to a Liouville equation with Stuart vortex distribution on the surface of a torus

Cites Work

• Unnamed Item
• Nonergodicity of point vortices
• The evaluation of lattice sums. III. Phase modulated sums
• Motion of three point vortices in a periodic parallelogram

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