Linear instability of Z-pinch in plasma: Viscous case

DOI10.1142/S0218202520500566zbMath1464.35210arXiv2003.13427OpenAlexW3095172515MaRDI QIDQ3388784

Ian Tice, Yan Guo, Dong-fen Bian

Publication date: 7 May 2021

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13427

zbMATH Keywords

vacuumviscositylinear instabilitycompressible MHD system\(z\)-pinch plasma

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (1)

Linear instability of Z-pinch in plasma: Inviscid case

Cites Work

• Sharp nonlinear stability criterion of viscous non-resistive MHD internal waves in 3D
• Nonlinear stability and instability in the Rayleigh-Taylor problem of stratified compressible MHD fluids
• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• On the dynamical stability and instability of parker problem
• Global well-posedness of the two-dimensional incompressible magnetohydrodynamics system with variable density and electrical conductivity
• On the construction of solutions to the free-surface incompressible ideal magnetohydrodynamic equations
• On magnetic inhibition theory in non-resistive magnetohydrodynamic fluids
• Compressible, inviscid Rayleigh-Taylor instability
• Linear Rayleigh–Taylor Instability for Viscous, Compressible Fluids
• Magnetohydrodynamics of Laboratory and Astrophysical Plasmas

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