In the present paper, we study the diffusion limit of the classical solution to the unipolar Vlasov-Poisson-Boltzmann (VPB) system with initial data near a global Maxwellian. We prove the convergence and establish the convergence rate of the global strong solution to the unipolar VPB system towards the solution to an incompressible Navier-Stokes-Poisson-Fourier system based on the spectral analysis with precise estimation on the initial layer.

中文翻译：

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Vlasov-Poisson-Boltzmann系统的扩散极限

在本文中，我们使用初始数据接近全局麦克斯韦矩阵的方法研究经典解对单极Vlasov-Poisson-Boltzmann（VPB）系统的扩散极限。我们证明了收敛性，并基于对频谱的分析和对初始层的精确估计，建立了单极性VPB系统整体解决方案向不可压缩Navier-Stokes-Poisson-Fourier系统解决方案的收敛速度。