BPBoris Percino
Boris Percino
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Boris Percino has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- Héctor Sánchez-Morgado
Universidad Nacional Autónoma de México
2 shared publications M& Noma de Chiapas
1 shared publicationUniversidad Aut&
1 shared publicationXico
1 shared publication
Latest Publications
- Open Access
- 24 August 2017
- Published by SIGMA (Symmetry, Integrability and Geometry: Methods and Application) in Symmetry, Integrability and Geometry: Methods and Applications
- Vol. 13, 068
Null Angular Momentum and Weak KAM Solutions of the Newtonian N-Body Problem
In [Arch. Ration. Mech. Anal. 213 (2014), 981-991] it has been proved that in the Newtonian $N$-body problem, given a minimal central configuration $a$ and an arbitrary configuration $x$, there exists a completely parabolic orbit starting on $x$ and asymptotic to the homothetic parabolic motion of $a$, furthermore such an orbit is a free time minimizer of the action functional. In this article we extend this result in abundance of completely parabolic motions by proving that under the same hypothesis it is possible to get that the completely parabolic motion starting at $x$ has zero angular momentum. We achieve this by characterizing the rotation invariant weak KAM solutions as those defining a lamination on the configuration space by free time minimizers with zero angular momentum- 24 August 2017
- Published by SIGMA (Symmetry, Integrability and Geometry: Methods and Application) in Symmetry, Integrability and Geometry: Methods and Applications
- Vol. 13, 068
Open AccessNull Angular Momentum and Weak KAM Solutions of the Newtonian N-Body Problem
In [Arch. Ration. Mech. Anal. 213 (2014), 981-991] it has been proved that in the Newtonian $N$-body problem, given a minimal central configuration $a$ and an arbitrary configuration $x$, there exists a completely parabolic orbit starting on $x$ and asymptotic to the homothetic parabolic motion of $a$, furthermore such an orbit is a free time minimizer of the action functional. In this article we extend this result in abundance of completely parabolic motions by proving that under the same hypothesis it is possible to get that the completely parabolic motion starting at $x$ has zero angular momentum. We achieve this by characterizing the rotation invariant weak KAM solutions as those defining a lamination on the configuration space by free time minimizers with zero angular momentum - 18 April 2014
- Published by Springer Nature in Archive for Rational Mechanics and Analysis
- Vol. 213 (3) , 981-991
Busemann Functions for the N-Body Problem
- 18 April 2014
- Published by Springer Nature in Archive for Rational Mechanics and Analysis
- Vol. 213 (3) , 981-991
Busemann Functions for the N-Body Problem
- Open Access
Busseman functions for the N-body problem
We prove that the Busemann function of the parabolic homotetic motion for a minimal central coniguration of the N-body problem is a viscosity solution of the Hamilton-Jacobi equation and that its calibrating curves are asymptotic to the homotetic motion.
Open AccessBusseman functions for the N-body problem
We prove that the Busemann function of the parabolic homotetic motion for a minimal central coniguration of the N-body problem is a viscosity solution of the Hamilton-Jacobi equation and that its calibrating curves are asymptotic to the homotetic motion.