Taiwanese Journal of Mathematics

Estimations for the Action Functional of the $N$-body Problem by Recursive Binary Decompositions

Kuo-Chang Chen

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In this paper, we improve estimations in a previous work [3] (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.

Article information

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

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Mathematical Reviews number (MathSciNet)

Primary: 70F10: $n$-body problems

$n$-body problem variational method


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

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