Stability of rarefaction waves for the two-species Vlasov–Poisson–Boltzmann system with soft potentials

IF 0.6 Q4 MATHEMATICS, APPLIED
Dongcheng Yang, Hongjun Yu
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引用次数: 0

Abstract

In this paper, we construct the global solutions near a local Maxwellian for the onedimensional two-species Vlasov-Poisson-Boltzmann system with soft potentials. The macroscopic components of this local Maxwellian are the approximate rarefaction wave solutions to the associated one-dimensional compressible Euler system. Then we prove the stability of the rarefaction waves for the two-species Vlasov-Poisson-Boltzmann system in the weighted function space. Moreover, some time decay rates of the disparity between two species and the electric field are obtained.
具有软势的两种Vlasov-Poisson-Boltzmann系统稀疏波的稳定性
本文构造了具有软势的一维两种Vlasov-Poisson-Boltzmann系统在局部麦克斯韦方程组附近的全局解。该局部麦克斯韦方程组的宏观分量是相关一维可压缩欧拉方程组的近似稀疏波解。然后证明了两种Vlasov-Poisson-Boltzmann系统在加权函数空间中的稀疏波的稳定性。此外,还得到了两种色差和电场的时间衰减率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Methods and applications of analysis
Methods and applications of analysis MATHEMATICS, APPLIED-
自引率
33.30%
发文量
3
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