论文标题
Vlasov-Poisson-Boltzmann系统的扩散极限
Diffusion Limit of the Vlasov-Poisson-Boltzmann System
论文作者
论文摘要
在本文中，我们研究了经典解决方案对单极vlasov-Poisson-Boltzmann（VPB）系统的扩散极限，该系统具有在全球Maxwellian附近的初始数据。我们证明了收敛性并建立了基于光谱分析的不可压缩的Navier-Stokes-stokes-poisson-fourystem，基于光谱分析，对初始层进行精确估计，将全局强溶液与单极VPB系统的收敛速率降低了求解。
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.
