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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

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.

Keyword:

Vlasov-Poisson-Boltzmann system planar rarefaction wave stability

Author Community:

  • [ 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

Reprint Author's Address:

  • 王腾

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

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Source :

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

ISSN: 0218-2025

Year: 2020

Issue: 1

Volume: 30

Page: 23-104

3 . 5 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:46

Cited Count:

WoS CC Cited Count: 5

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

Affiliated Colleges:

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