Periodic Vortex Streets and Complex Monodromy
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.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146403 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862540395255169024 |
|---|---|
| author | Hemery, A.D. Veselov, P.V. |
| author_facet | Hemery, A.D. Veselov, P.V. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2025-11-24T16:08:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146403 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T16:08:40Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hemery, A.D. Veselov, P.V. 2019-02-09T11:15:54Z 2019-02-09T11:15:54Z 2014 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. 1815-0659 2010 Mathematics Subject Classification: 76B47; 34M05; 81R12 DOI: http://dx.doi.org/10.3842/SIGMA.2014.114 https://nasplib.isofts.kiev.ua/handle/123456789/146403 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. 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). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Periodic Vortex Streets and Complex Monodromy Article published earlier |
| spellingShingle | Periodic Vortex Streets and Complex Monodromy Hemery, A.D. Veselov, P.V. |
| title | Periodic Vortex Streets and Complex Monodromy |
| title_full | Periodic Vortex Streets and Complex Monodromy |
| title_fullStr | Periodic Vortex Streets and Complex Monodromy |
| title_full_unstemmed | Periodic Vortex Streets and Complex Monodromy |
| title_short | Periodic Vortex Streets and Complex Monodromy |
| title_sort | periodic vortex streets and complex monodromy |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146403 |
| work_keys_str_mv | AT hemeryad periodicvortexstreetsandcomplexmonodromy AT veselovpv periodicvortexstreetsandcomplexmonodromy |