The motion of a collisionless plasma - a high-temperature, low-density, ionized gas - is described by the Vlasov-Maxwell (VM) system. These equations are considered in one space dimension and two momentum dimensions without the assumption of relativistic velocity corrections. The main results are bounds on the spatial and velocity supports of the particle distribution function and uniform estimates on derivatives of this function away from the critical velocity $| v_1 | = 1$. Additionally, for initial particle distributions that are even in the second velocity argument $v_2$, the global-in-time existence of solutions is shown.

中文翻译：

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一维和二分之一维 Vlasov Maxwell 系统的分离特性和全局可解性

Vlasov-Maxwell (VM) 系统描述了无碰撞等离子体（一种高温、低密度、电离气体）的运动。这些方程是在一个空间维度和两个动量维度中考虑的，没有相对论速度修正的假设。主要结果是粒子分布函数的空间和速度支持的边界以及该函数远离临界速度 $| 的导数的统一估计。v_1 | = 1 美元。此外，对于即使在第二个速度参数 $v_2$ 中的初始粒子分布，也显示了解的全局时间存在性。