The essential spectrum of a linear magnetohydrodynamic model containing a vcuum region

DOI10.1080/03605309708821256zbMath0881.35092OpenAlexW2035117139MaRDI QIDQ4349740

Georgi D. Raikov

Publication date: 13 January 1998

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309708821256

zbMATH Keywords

essential spectrummagnetohydrodynamic modelforce operatorexplicit formula for the essential spectrumlinear magnetohydrodynamic model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General topics in linear spectral theory for PDEs (35P05) Magnetohydrodynamics and electrohydrodynamics (76W05)

Cites Work

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• On the essential spectrum of MHD plasma in toroidal region
• Essential spectrum of linearized operator for MHD plasma in cylindrical region
• The spectrum of a linear magnetohydrodynamic model with cylindrical symmetry
• A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma
• Pseudo-differential operators and non-elliptic boundary problems
• An energy principle for hydromagnetic stability problems
• On the essential spectrum of ideal magnetohydrodynamics. Dedicated to harold grad on the occasion of his sixtieth birthday
• On the absolutely continuous spectrum of MHD plasma confined in the flat torus
• Some rigorous results concerning spectral theory for ideal MHD
• Inverse boundary value problems at the boundary—continuous dependence
• Justification of the mhd energy principle for the stability of a confined toroidal plasma
• The Essential Spectrum of Some Matrix Operators
• The Essential Spectrum of a Non‐Elliptic Boundary Value Problem

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