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作者:

Wang, Shu (Wang, Shu.) (学者:王术) | Wang, Teng (Wang, Teng.) (学者:王腾)

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EI Scopus SCIE

摘要:

We investigate the time-asymptotic stability of planar rarefaction wave for the 3D bipolar Vlasov Poisson Boltzmann (VPB) system, based on the micro macro decompositions introduced in [T. P. Liu and S. H. Yu, Boltzmann equation: Micro-macro decompositions and positivity of shock profiles, Comm. Math. Phys. 246 (2004) 133-179; Energy method for the Boltzmann equation, Physica D 188 (2004) 178-192] and our new observations on the underlying wave structures of the equation to overcome the difficulties due to the wave propagation along the transverse directions and its interactions with the planar rarefaction wave. Note that this is the first stability result of basic wave patterns for bipolar VPB system in three dimensions.

关键词:

Vlasov-Poisson-Boltzmann system planar rarefaction wave stability

作者机构:

  • [ 1 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Wang, Teng]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

通讯作者信息:

  • 王腾

    [Wang, Teng]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

ISSN: 0218-2025

年份: 2020

期: 1

卷: 30

页码: 23-104

3 . 5 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:46

被引次数:

WoS核心集被引频次: 5

SCOPUS被引频次: 5

ESI高被引论文在榜: 0 展开所有

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