| dc.contributor | Maderna Ezequiel, Universidad de la República (Uruguay). Facultad de Ingeniería. | |
| dc.contributor | Venturelli Andrea, Laboratoire de Mathématiques d'Avignon, Avignon, France | |
| dc.creator | Maderna, Ezequiel | |
| dc.creator | Venturelli, Andrea | |
| dc.date.accessioned | 2023-03-03T12:55:38Z | |
| dc.date.accessioned | 2023-07-13T17:22:05Z | |
| dc.date.available | 2023-03-03T12:55:38Z | |
| dc.date.available | 2023-07-13T17:22:05Z | |
| dc.date.created | 2023-03-03T12:55:38Z | |
| dc.date.issued | 2020 | |
| dc.identifier | Maderna, E. y Venturelli, A. "Viscosity solutions and hyperbolic motions : a new PDE method for the N-body problem". Annals of Mathematics. [en línea]. 2020, vol. 192, no. 2, pp. 499-550. DOI: 10.4007/annals.2020.192.2.5. | |
| dc.identifier | 0003-486X | |
| dc.identifier | https://annals.math.princeton.edu/2020/192-2/p05 | |
| dc.identifier | https://hdl.handle.net/20.500.12008/36121 | |
| dc.identifier | 10.4007/annals.2020.192.2.5 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7424656 | |
| dc.description.abstract | We prove for the N-body problem the existence of hyperbolic motions for any prescribed limit shape and any given initial configuration of the bodies. The energy level h>0 of the motion can also be chosen arbitrarily. Our approach is based on the construction of global viscosity solutions for the Hamilton-Jacobi equation H(x,dxu)=h. We prove that these solutions are fixed points of the associated Lax-Oleinik semigroup. The presented results can also be viewed as a new application of Marchal’s Theorem, whose main use in recent literature has been to prove the existence of periodic orbits. | |
| dc.language | en | |
| dc.publisher | Princeton University | |
| dc.relation | Annals of Mathematics, vol. 192, no. 2, 2020, pp. 499-550. | |
| dc.rights | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) | |
| dc.rights | Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014) | |
| dc.subject | N-body problem | |
| dc.subject | Hamilton-Jacobi equation | |
| dc.subject | Viscosity solutions | |
| dc.title | Viscosity solutions and hyperbolic motions : a new PDE method for the N-body problem | |
| dc.type | Artículo | |
