On the linear stability of a toroidal plasma with resistivity, viscosity and Hall current

DOI10.1016/0022-247X(87)90166-1zbMath0649.76023MaRDI QIDQ1106049

D. Ebel, Mei-Chang Shen

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

existenceinitial-boundary value problemuniquenesslinear stability analysisHall currentlinearized equationsunstable eigenvaluesplasma confinementexistence of a toroidal plasma equilibriummagnetohydrodymic equations with finite resistivitystable eigenvaluestoroidal plasma equilibrium

Mathematics Subject Classification ID

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

Related Items (8)

A new approach to energy theory in the stability of fluid motion ⋮ The MHD equations in the case of low conductivity ⋮ Linearization principle for a toroidal Hall current plasma with viscosity and resistivity ⋮ 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 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

• Semigroups of linear operators and applications to partial differential equations
• Teoremi di tipo locale per il sistema di Navier-Stokes e stabilita delle soluzioni stazionarie
• On the linearization principle in magnetohydrodynamics
• Geometric theory of semilinear parabolic equations
• The linearization principle and invariant manifolds for problems of magnetohydrodynamics
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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