Linearization principle for a toroidal Hall current plasma with viscosity and resistivity

DOI10.1007/BF01761463zbMath0666.76153MaRDI QIDQ1117121

D. Ebel, Mei-Chang Shen

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

stability analysisboundary conditionsincompressible toroidal Hall Current plasma with viscosity and resistivitylocal existence theoremnonlinear initial boundary value problems

Mathematics Subject Classification ID

Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (7)

The MHD equations in the case of low conductivity ⋮ On an initial-boundary value problem for the equation of magnetohydrodynamics with the Hall and ion-slip effects ⋮ Variational methods for stationary MHD flow under natural interface conditions ⋮ On solvability of an initial-boundary-value problem for equations of magnetohydrodynamics ⋮ On instability of the magnetic Bénard problem with Hall and ion-slip effects ⋮ On the nonlinear stability of the MHD anisotropic Bénard problem ⋮ Fluid-Magnetic Splitting of the Magnetohydrodynamic Equations

Cites Work

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• On the linearization principle in magnetohydrodynamics
• The linearization principle and invariant manifolds for problems of magnetohydrodynamics
• Sulla stabilita magnetofluidodinamica non lineare asintotica in media in presenza di effetto Hall
• Solitons on a cylindrical pinch with Hall effect
• Existence and uniqueness theorems for a steady thermo-diffusive mixture in a mixed problem
• Investigation of a family of function spaces in connection with theorems of imbedding and extension

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