Linear instability of Z -pinch in plasma: Viscous case

Dongfen Bian; Yan Guo; Ian Tice

doi:10.1142/S0218202520500566

Linear instability of Z -pinch in plasma: Viscous case

Dongfen Bian, Yan Guo, Ian Tice

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

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摘要

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.

源语言	英语
页（从-至）	2827-2908
页数	82
期刊	Mathematical Models and Methods in Applied Sciences
卷	30
期	14
DOI	https://doi.org/10.1142/S0218202520500566
出版状态	已出版 - 30 12月 2020

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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

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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.",

keywords = "Compressible MHD system, linear instability, vacuum, viscosity, z -pinch plasma",

author = "Dongfen Bian and Yan Guo and Ian Tice",

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T1 - Linear instability of Z -pinch in plasma

T2 - Viscous case

AU - Bian, Dongfen

AU - Guo, Yan

AU - Tice, Ian

PY - 2020/12/30

Y1 - 2020/12/30

N2 - 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.

AB - 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.

KW - Compressible MHD system

KW - linear instability

KW - vacuum

KW - viscosity

KW - z -pinch plasma

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JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 14

ER -

Linear instability of Z -pinch in plasma: Viscous case

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