For more information about this meeting, contact Anatole Katok, Mari Royer, Yakov Pesin, Dmitri Burago.
| Title: | Variational construction of parabolic solutions in the N-Body Problem |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Andrea Venturelli, University of Avignon |
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| Abstract: |
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| Let us consider N point masses attracting each others with a Newto-
nian force field. A solution of the N -body problem is said to be totally
parabolic (as time go to +∞) if all mutual distances are unbounded but
the speed of every body goes to zero. For such a solution the ω-limit of
the normalized configuration is contained in the set of Central Configu-
rations. We prove the following result : given a normalized minimizing
Central Configuration x0 and any configuration xi , there exists a par-
abolic solution starting at xi at the initial time and asymptotic to x0 .
This solution is a global minimizer of the Lagrangian action functional
and it is constructed using the direct methods of the Calculus of Vari-
ations. It is a joint work with Ezequiel Maderna (Universidad de la
Republica, Monteviedo, (UY)). |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 09 / 28 / 2009 |
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| Time: | 03:30pm - 05:30pm |
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