Adrian D. Hemery, Alexander P. Veselov, “Periodic Vortex Streets and Complex Monodromy”, SIGMA, 2014, Volume 10,114, 18 pp.

This article is cited in 2 papers

Periodic Vortex Streets and Complex Monodromy

Adrian D. Hemery^a, Alexander P. Veselov^bc

^a Charterhouse School, Godalming, Surrey, GU7 2DX, UK
^b Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK
^c Moscow State University, Russia

Abstract: 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.

Keywords: vortex; equilibria; monodromy; integrability.

MSC: 76B47; 34M05; 81R12

Received: August 28, 2014; in final form December 10, 2014; Published online December 23, 2014

Language: English

DOI: 10.3842/SIGMA.2014.114