论文标题
等离子体中的$ z $ -pinch的线性不稳定性（i）：无粘性案例
Linear instability of $Z$-pinch in plasma (I): Inviscid case
论文作者
论文摘要
Z-PINCH是MHD模型的经典稳态，其中限制的等离子流体被真空隔开，在存在沿Z方向的规定电流产生的磁场的情况下。我们开发了一个变异框架来研究其在没有粘度效应的情况下其稳定性，并首次证明任何这样的Z pinch始终是不稳定的。此外，我们发现了足够的条件，因此特征值可以是无限的，从而导致线性化MHD系统的不良性。
The z-pinch is a classical steady state for the MHD model, where a confined plasma fluid is separated by vacuum, in the presence of a magnetic field which is generated by a prescribed current along the z direction. We develop a variational framework to study its stability in the absence of viscosity effect, and demonstrate for the first time that any such a z-pinch is always unstable. Moreover, we discover a sufficient condition such that the eigenvalues can be unbounded, which leads to ill-posedness of the linearized MHD system.
