Indexed by:
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:
Reprint Author's Address:
Email:
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: