论文标题
不可压缩的Navier-Stokes-Maxwell系统的流体动力限制与Vlasov-Maxwell-Boltzmann系统的欧姆法律：Hilbert扩展方法
Hydrodynamic limit of the incompressible Navier-Stokes-Fourier-Maxwell System with Ohm's Law from the Vlasov-Maxwell-Boltzmann system: Hilbert expansion approach
论文作者
论文摘要
我们证明了从两种物种弗拉索夫·马克斯韦·博尔茨曼系统到具有欧姆定律的两种富低的navier-stokes-maxwell系统的全球限制。除了用于弗拉索夫 - 马克斯韦 - 波尔兹曼方程的经典解决方案开发的技术外，还采用了非线性能量法和微麦克罗分解，还采用了关键作用，电场方程的衰减和波浪方程的衰减均具有无差磁场的线性阻尼。这是[N的同伴论文。江和Y.-L。 luo，\ emph {ann。 PDE} 8（2022），否。 1，第4号纸，126 pp]，其中不使用希尔伯特扩张。
We prove a global-in-time limit from the two-species Vlasov-Maxwell-Boltzmann system to the two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law. Besides the techniques developed for the classical solutions to the Vlasov-Maxwell-Boltzmann equations in the past years, such as the nonlinear energy method and micro-macro decomposition are employed, key roles are played by the decay properties of both the electric field and the wave equation with linear damping of the divergence free magnetic field. This is a companion paper of [N. Jiang and Y.-L. Luo, \emph{Ann. PDE} 8 (2022), no. 1, Paper No. 4, 126 pp] in which Hilbert expansion is not employed.
