Stability of rarefaction waves for the bipolar Vlasov-Poisson-Boltzmann system

摘要

In this paper, we construct the global solutions near a local Maxwellian for the one-dimensional bipolar Vlasov-Poisson-Boltzmann system. The macroscopic components of this local Maxwellian are the approximate rarefaction wave solutions to the associated one-dimensional compressible Euler equations. Thus, we prove the stability of the rarefaction waves for the bipolar Vlasov-Poisson-Boltzmann system in the weighted function space. Moreover, we obtain some time decay rates of the disparity between two species and the electric field, which decay at an exponential rate. (C) 2019 Published by Elsevier Inc.