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Author:

Yang, R. (Yang, R..)

Indexed by:

Scopus

Abstract:

This paper concerns a second-order N interacting stochastic particle system with singular potential for any dimension n ≥ 2. By some estimates of total energy of the system, we prove that there is no collision among particles almost surely in any finite time interval, then the well-posedness of this interacting particle system can be established. © 2020 Rong Yang.

Keyword:

second-order SDEs singular interaction kernel N-body system well-posedness

Author Community:

  • [ 1 ] [Yang R.]Faculty of Science, Beijing University of Technology, Ping Le Yuan100, Chaoyang District, Beijing, 100124, China

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Source :

Contemporary Mathematics (Singapore)

ISSN: 2705-1064

Year: 2020

Issue: 5

Volume: 1

Page: 437-451

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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