@Article{AAM-35-317,
author = {Wang , Teng and Wang , Yi},
title = {A Fluid-Particle Model with Electric Fields Near a Local Maxwellian with Rarefaction Wave},
journal = {Annals of Applied Mathematics},
year = {2020},
volume = {35},
number = {3},
pages = {317--356},
abstract = {<p style="text-align: justify;">The paper is concerned with time-asymptotic behavior of solution near a
local Maxwellian with rarefaction wave to a fluid-particle model described by
the Vlasov-Fokker-Planck equation coupled with the compressible and inviscid
fluid by Euler-Poisson equations through the relaxation drag frictions, Vlasov
forces between the macroscopic and microscopic momentums and the electrostatic potential forces. Precisely, based on a new micro-macro decomposition
around the local Maxwellian to the kinetic part of the fluid-particle coupled
system, which was first developed in [16], we show the time-asymptotically
nonlinear stability of rarefaction wave to the one-dimensional compressible inviscid Euler equations coupled with both the Vlasov-Fokker-Planck equation
and Poisson equation.</p>},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/aam/18085.html}
}