TY - JOUR
T1 - A Fluid-Particle Model with Electric Fields Near a Local Maxwellian with Rarefaction Wave
AU - Wang , Teng
AU - Wang , Yi
JO - Annals of Applied Mathematics
VL - 3
SP - 317
EP - 356
PY - 2020
DA - 2020/08
SN - 35
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18085.html
KW - fluid-particle model, rarefaction wave, time-asymptotic stability.
AB - <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>