标题： 扩散极限与一类单物种 Vlasov-Maxwell-Boltzmann 系统经典解的最佳收敛速度 显示英文标题

标题： Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system

摘要： 本文中，我们研究一类单物种Vlasov-Maxwell-Boltzmann（VMB）系统的强解在初始数据接近整体Maxwellian时的扩散极限。基于谱分析技术，我们证明了经典解收敛于不可压缩Navier-Stokes-Maxwell系统解，并且建立了收敛率，同时精确估计了初值层的影响。 显示英文摘要

摘要： In the present paper, we study the diffusion limit of the strong solution to the one-species Vlasov-Maxwell-Boltzmann (VMB) system with initial data near a global Maxwellian. Based on spectral analysis techniques, we prove the convergence and establish the convergence rate of the classical solution to the VMB system towards the solution to the incompressible Navier--Stokes--Maxwell system with a precise estimation on the initial layer.