Stability of rarefaction waves for the two-species Vlasov–Poisson–Boltzmann system with soft potentials
Stability of rarefaction waves for the two-species Vlasov–Poisson–Boltzmann system with soft potentials
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DOI：
10.4310/maa.2022.v29.n1.a4
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发表时间：
2022
影响因子：
0.3
通讯作者：
Dongcheng Yang;Hongjun Yu
中科院分区：
文献类型：
--
作者：
Dongcheng Yang;Hongjun Yu
在本文中，我们构建了具有软势的一维二维 Vlasov-Poisson-Boltzmann 系统的局部麦克斯韦附近的全局解。该局部麦克斯韦方程的宏观分量是相关一维可压缩欧拉系统的近似稀疏波解。然后我们证明了加权函数空间中二种Vlasov-Poisson-Boltzmann系统稀疏波的稳定性。此外，还获得了两种物质之间的差异和电场的一些时间衰减率。
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.