论文标题
从Vlasov-Poisson-Boltzmann系统到不可压缩的Navier-Stokes-stokes-fourier-Poisson系统：经典解决方案的收敛性
From Vlasov-Poisson-Boltzmann system to incompressible Navier-Stokes-Fourier-Poisson system: convergence for classical solutions
论文作者
论文摘要
对于单物种的Vlasov-Poisson-Boltzmann（VPB）系统，在缩放下，波动的矩将正式收敛于不可压缩的Navier-Stokes-stokes-stokes-fourier-poisson（NSFP）系统，我们证明了统一的估计值，涉及knudsen数字$ $ $ε$。结果，在（0,1] $中，所有$ε\ in（0,1）$的全球经典解决方案的存在是在整个空间中建立的，在较小的初始数据尺寸的情况下，与不可压缩的NSFP的融合为$ε$ go go to 0是严格的合理性的。
For the one-species Vlasov-Poisson-Boltzmann (VPB) system in the scaling under which the moments of the fluctuations formally converge to the incompressible Navier-Stokes-Fourier-Poisson (NSFP) system, we prove the uniform estimates with respect to the Knudsen number $ε$ for the fluctuations. As a consequence, the existence of the global-in-time classical solutions of VPB with all $ε\in (0,1]$ is established in whole space under small size of initial data, and the convergence to incompressible NSFP as $ε$ go to 0 is rigorously justified.
