关于磁微分方程的可解性
On the Solvability of Magnetic Differential Equations
摘要：
电阻平衡和理想等离子体平衡的计算相当于求解多个$\vec {B}\cdot \nabla Φ=s$型磁微分方程。应用势$Φ$存在的充要条件，发现轴对称环形几何中不存在磁约束等离子体的静力平衡位形.
英文摘要：
The calculation of both resistive and ideal plasma equilibria amounts to solving a number of magnetic differential equations which are of the type $\vec {B}\cdot \nabla Φ=s$. We apply the necessary and sufficient criterion for the existence of the potential $Φ$ and find that a static equilibrium configuration of a magnetically confined plasma does not exist in axi-symmetric toroidal geometry.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
