发表机构
University of Cambridge（剑桥大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明线性化Vlasov-Maxwell系统在光速趋于无穷时，其解一致收敛于线性化Vlasov-Poisson解，误差为c^{-1}阶，并给出纵向Landau阻尼与横向Klein-Gordon色散机制。
AI 中文摘要
本文研究了在$\mathbb{R}^3$上关于Poisson平衡态线性化的、具有牛顿粒子输运的Vlasov-Maxwell系统，其中光速$c$被视为大参数。对于一致受控的初始数据，且横向场可能保持为一阶量时，Vlasov-Maxwell扰动与其线性化Vlasov-Poisson对应量之差在时间上一致地受限于其初始差异加上一个$c^{-1}$阶的项。该估计同样适用于它们的散射态，且关于$c$的速率是精确的。纵向动力学由与线性化Vlasov-Poisson相同的Volterra方程控制，并经历Landau阻尼。横向场表现出Klein-Gordon型色散，对其沿自由输运累积效应的控制得出一致比较。
英文摘要
The Vlasov-Maxwell system with Newtonian particle transport is linearised about the Poisson equilibrium on $\mathbb{R}^3$, with the speed of light $c$ treated as a large parameter. For uniformly controlled initial data, with transverse fields that may remain of order one, the difference between the Vlasov-Maxwell perturbation and its linearised Vlasov-Poisson counterpart is bounded uniformly in time by their initial discrepancy plus a term of order $c^{-1}$. The same estimate holds for their scattering states, and the rate in $c$ is sharp. The longitudinal dynamics are governed by the same Volterra equation as in linearised Vlasov-Poisson and undergo Landau damping. The transverse fields exhibit Klein-Gordon-type dispersion, and control of their accumulated effect along free transport yields the uniform comparison.
