Essential spectrum of ideal magnetohydrodynamics

Journal Article · Tue Jan 01 04:00:00 EST 1985 · Commun. Pure Appl. Math.; (United States)

DOI:https://doi.org/10.1002/cpa.3160380104· OSTI ID:5648663

Hameiri, E

The essential spectrum of magnetohydrodynamics is shown to arise from waves propagating one-dimensionally along magnetic field lines. Different polarizations of these waves give rise to the Alfven and ballooning spectra. The essential spectrum of an axisymmetric equilibrium when a single azimuthal mode number is considered consists of the Alfven spectrum only, while the ballooning modes appear as intervals of accumulation of discrete eigenvalues with different mode numbers. Some necessary and one sufficient conditions for stability are derived, and some examples where the criteria coincide to yield a simple condition for stability are shown. 29 references.

• Research Organization: New York Univ., NY
• DOE Contract Number: AC02-76ER03077
• OSTI ID: 5648663
• Journal Information: Commun. Pure Appl. Math.; (United States), Journal Name: Commun. Pure Appl. Math.; (United States) Vol. 38; ISSN CPAMA
• Country of Publication: United States
• Language: English

Related Subjects

640430* -- Fluid Physics-- Magnetohydrodynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIFFERENTIAL EQUATIONS
EIGENVALUES
EQUATIONS
FLUID MECHANICS
HYDRODYNAMICS
HYDROMAGNETIC WAVES
INTEGRAL TRANSFORMATIONS
LAPLACE TRANSFORMATION
MAGNETOHYDRODYNAMICS
MECHANICS
PLASMA DENSITY
STABILITY
TRANSFORMATIONS
WAVE PROPAGATION