论文标题
等离子体中的$ z $ -pinch的线性不稳定（ii）：粘性案例
Linear instability of $Z$-pinch in plasma (II): Viscous 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，在存在磁场的存在下，该磁场是由沿$ z $方向的规定电流产生的。我们开发了一个规模的变分框架，以研究其在粘度效应的存在下的稳定性，并证明任何此类Z-Pinch始终是不稳定的。我们还建立了最大的生长模式的存在，该模式主导了线性MHD系统的线性生长。
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 scaled variational framework to study its stability in the presence of viscosity effect, and demonstrate that any such z-pinch is always unstable. We also establish the existence of a largest growing mode, which dominates the linear growth of the linear MHD system.
