The spectrum of a linear magnetohydrodynamic model with cylindrical symmetry

DOI10.1007/BF00375591zbMath0751.76072MaRDI QIDQ1189749

Georgi D. Raikov

Publication date: 27 September 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

ideal plasmaforce operator spectrumgeneral screw pinch

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (7)

Variational bounds to eigenvalues of selfadjoint eigenvalue problems with arbitrary spectrum ⋮ Variational principles and eigenvalue estimates for unbounded block operator matrices and applications ⋮ The essential spectrum of a linear magnetohydrodynamic model containing a vcuum region ⋮ Essential spectrum of non-self-adjoint singular matrix differential operators ⋮ Eigenvalue enclosures and convergence for the linearized MHD operator ⋮ The Essential Spectrum of a System of Singular Ordinary Differential Operators of Mixed Order. Part I: The General Problem and an Almost Regular Case ⋮ Systems of Singular Differential Operators of Mixed Order and Applications to 1 - Dimensional MHD Problems

Cites Work

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• An energy principle for hydromagnetic stability problems
• Discrete Alfvén eigenmode spectrum in magnetohydrodynamics
• On the absolutely continuous spectrum of MHD plasma confined in the flat torus
• Some rigorous results concerning spectral theory for ideal MHD
• New approach to magnetohydrodynamic stability: I. A practical stability concept
• Spectrum of ideal magnetohydrodynamics of axisymmetric toroidal systems
• Magnetofluid-Dynamic Spectrum and Low Shear Stability

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