The aim of the paper is to test on a simple model how impenetrable may be a magnetic shield. We study the time evolution of a single species positive plasma, confined in the half-space $x_1>0$. The confinement is the result of a balance between a magnetic field and an external field, both singular at $x_1=0$; the magnetic field forbids the entrance of plasma particles in the region $x_1 \leq 0$, whereas the external field attracts the plasma particles towards $x_1=0$. The plasma has finite total charge and velocities distributed with a Maxwell-Boltzmann law.

中文翻译：

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磁屏蔽对 Vlasov-Poisson 等离子体的功效

这篇论文的目的是在一个简单的模型上测试磁屏蔽是多么难以穿透。我们研究了单一物种阳性等离子体的时间演变，限制在半空间 $x_1>0$ 中。限制是磁场和外场平衡的结果，在 $x_1=0$ 处都是奇异的；磁场禁止等离子体粒子进入 $x_1\leq 0$ 区域，而外场将等离子体粒子吸引到 $x_1=0$。等离子体具有有限的总电荷和速度，其分布符合麦克斯韦-玻尔兹曼定律。