自由边界MHD平衡点的柔度和刚度
Flexibility and rigidity of free boundary MHD equilibria
摘要：
研究了具有嵌套通量面的理想不可压缩磁流体的稳态自由边界位形。在二维单连通区域中，我们证明了如果磁场和速度场永远不相称，则任何这样的平衡的唯一可能的区域是圆盘，并且速度和磁场是圆形的。我们给出了非对称平衡的例子，通过施加由奇异电流片电荷分布（外部线圈）产生的外部磁场，占据任何形状的域。一些结果结转到三维轴对称的解决方案。这些结果突出了外部磁场对非对称平衡存在的重要性。
英文摘要：
We study stationary free boundary configurations of an ideal incompressible magnetohydrodynamic fluid possessing nested flux surfaces. In 2D simply connected domains, we prove that if the magnetic field and velocity field are never commensurate, the only possible domain for any such equilibria is a disk, and the velocity and magnetic field are circular. We give examples of non-symmetric equilibria occupying a domain of any shape by imposing an external magnetic field generated by a singular current sheet charge distribution (external coils). Some results carry over to 3D axisymmetric solutions. These results highlight the importance of external magnetic fields for the existence of asymmetric equilibria.
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。
