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作者:

Li, Hai-Liang (Li, Hai-Liang.) | Wang, Teng (Wang, Teng.) (学者:王腾) | Wang, Yi (Wang, Yi.)

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摘要:

We investigate the nonlinear stability of the superposition of a viscous contact wave and two rarefaction waves for a one-dimensional (1D) bipolar Vlasov Poisson Boltzmann (VPB) system, which can be used to describe the transportation of charged particles under the additional electrostatic potential force. Based on a new micro-macro type of decomposition around the local Maxwellian related to the bipolar VPB system in the previous work [H.-L. Li, Y. Wang, T. Yang, and M.-Y. Zhong, Arch. Ration. Mech. Anal., 228 (2018), pp. 39-127], we prove that the superposition of a viscous contact wave and two rarefaction waves is time-asymptotically stable to the 1D bipolar VPB system under some smallness conditions on the initial perturbations and wave strength, which implies that this typical superposition wave pattern is nonlinearly stable under the combined effects of the binary collisions, the electrostatic potential force, and the mutual interactions of different charged particles. This is the first result about the nonlinear stability of the combination of two different wave patterns for the VPB system.

关键词:

time-asymptotic stability micro-macro decomposition bipolar Vlasov Poisson Boltzmann system viscous contact wave rarefaction wave

作者机构:

  • [ 1 ] [Li, Hai-Liang]Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
  • [ 2 ] [Wang, Teng]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Wang, Yi]Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
  • [ 4 ] [Wang, Yi]Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

通讯作者信息:

  • [Wang, Yi]Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China;;[Wang, Yi]Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

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来源 :

SIAM JOURNAL ON MATHEMATICAL ANALYSIS

ISSN: 0036-1410

年份: 2018

期: 2

卷: 50

页码: 1829-1876

2 . 0 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:63

被引次数:

WoS核心集被引频次: 6

SCOPUS被引频次: 5

ESI高被引论文在榜: 0 展开所有

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