Continuous Choreographies as Limiting Solutions of N-body Type Problems with Weak Interaction
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Continuous Choreographies as Limiting Solutions of N-body Type Problems with Weak Interaction
|
|
| Creator |
Castaneira, R.
Padilla, P. Sánchez-Morgado, H. |
|
| Description |
We consider the limit N→+∞ of N-body type problems with weak interaction, equal masses and −σ-homogeneous potential, 0<σ<1. We obtain the integro-differential equation that the motions must satisfy, with limit choreographic solutions corresponding to travelling waves of this equation. Such equation is the Euler-Lagrange equation of a corresponding limiting action functional. Our main result is that the circle is the absolute minimizer of the action functional among zero mean (travelling wave) loops of class H¹.
|
|
| Date |
2019-02-16T16:27:59Z
2019-02-16T16:27:59Z 2016 |
|
| Type |
Article
|
|
| Identifier |
Continuous Choreographies as Limiting Solutions of N-body Type Problems with Weak Interaction / R. Castaneira, P. Padilla, H. Sánchez-Morgado // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 8 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 70F45; 70G75; 70F10 DOI:10.3842/SIGMA.2016.104 http://dspace.nbuv.gov.ua/handle/123456789/148005 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|