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作者:

Yang, Rong (Yang, Rong.) | Min, Hui (Min, Hui.)

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EI SCIE

摘要:

This article investigates an N-particle system with the Newtonian gravitational interaction in dimensions n≥ 3. For the many-particle system without noise term, we prove that there is a finite time T such that the pairs of particles do collide with each other for any initial condition. When the noise effect is concerned and the initial data are independent and identically distributed (i.i.d.), we prove that pairs of particles do collide with positive probability: the singularity of the drift is indeed visited in finite time, which means that, for the stochastic N-particle system interacting via the Newtonian gravitational potential, global strong solution dose not exist. © 2021, The Author(s), under exclusive licence to Springer Nature B.V.

关键词:

Gravitation Stochastic systems

作者机构:

  • [ 1 ] [Yang, Rong]Faculty of Science, Beijing University of Technology, Ping Le Yuan100, Beijing; Chaoyang District; 100124, China
  • [ 2 ] [Min, Hui]Faculty of Science, Beijing University of Technology, Ping Le Yuan100, Beijing; Chaoyang District; 100124, China

通讯作者信息:

  • [yang, rong]faculty of science, beijing university of technology, ping le yuan100, beijing; chaoyang district; 100124, china

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来源 :

Acta Applicandae Mathematicae

ISSN: 0167-8019

年份: 2021

期: 1

卷: 172

1 . 6 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:5

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WoS核心集被引频次: 0

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ESI高被引论文在榜: 0 展开所有

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