论文标题
在小力量维持的准对称等离子体平衡上
On quasisymmetric plasma equilibria sustained by small force
论文作者
论文摘要
我们构建具有封闭的，嵌套的通量表面的光滑，非对称的等离子体平衡，并用较小的力求解磁液压（稳定的三维不可压缩的Euler）方程。溶液也是``几乎''的准对称。主要想法是，鉴于所需的准对称方向$ξ$，要改变空间上的平滑结构，以使矢量场$ξ$杀死了新的度量标准和构建$ξ$ - 通过解决该背景的磁液溶剂方程的对称解决方案，通过求解广义级别的shafranov方程。如果$ξ$接近欧几里得空间的对称性，那么这些是平面空间上的解决方案，直至小强迫。
We construct smooth, non-symmetric plasma equilibria which possess closed, nested flux surfaces and solve the magnetohydrostatic (steady three-dimensional incompressible Euler) equations with a small force. The solutions are also `nearly' quasisymmetric. The primary idea is, given a desired quasisymmetry direction $ξ$, to change the smooth structure on space so that the vector field $ξ$ is Killing for the new metric and construct $ξ$--symmetric solutions of the magnetohydrostatic equations on that background by solving a generalized Grad-Shafranov equation. If $ξ$ is close to a symmetry of Euclidean space, then these are solutions on flat space up to a small forcing.
