Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 23, Number 2 (2019), 503-514.
Estimations for the Action Functional of the $N$-body Problem by Recursive Binary Decompositions
In this paper, we improve estimations in a previous work  (Arch. Rat. Mech. Anal. 2003) about estimations for the action functional of the $N$-body problem. Our method is based on repeated applications of binary decompositions for the $N$-body system, and is applicable to more general particle systems.
Taiwanese J. Math., Volume 23, Number 2 (2019), 503-514.
Received: 7 May 2018
Revised: 1 October 2018
Accepted: 8 October 2018
First available in Project Euclid: 22 October 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Primary: 70F10: $n$-body problems
Chen, Kuo-Chang. Estimations for the Action Functional of the $N$-body Problem by Recursive Binary Decompositions. Taiwanese J. Math. 23 (2019), no. 2, 503--514. doi:10.11650/tjm/181008. https://projecteuclid.org/euclid.twjm/1540195380