Abstract
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.
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