Посилання:Periodic Vortex Streets and Complex Monodromy / A.D. Hemery, P.V. Veselov // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 39 назв. — англ.
Підтримка:We are very grateful to John Gibbons and Boris Khesin for helpful and encouraging discussions.
We also thank all the referees for the critical comments and constructive suggestions.
This work was mainly done in spring 2012 when the first author (ADH) was a PhD student
at Loughborough University. The work of APV was partly supported by the EPSRC (grant
EP/J00488X/1).
The explicit constructions of periodic and doubly periodic vortex relative equilibria using the theory of monodromy-free Schrödinger operators are described. Several concrete examples with the qualitative analysis of the corresponding travelling vortex streets are given.