Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 2827-2908 |
| Number of pages | 82 |
| Journal | Mathematical Models and Methods in Applied Sciences |
| Volume | 30 |
| Issue number | 14 |
| DOIs | |
| Publication status | Published - 30 Dec 2020 |
Keywords
- Compressible MHD system
- linear instability
- vacuum
- viscosity
- z -pinch plasma
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Bian, D., Guo, Y., & Tice, I. (2020). Linear instability of Z -pinch in plasma: Viscous case. Mathematical Models and Methods in Applied Sciences, 30(14), 2827-2908. https://doi.org/10.1142/S0218202520500566