The eigenvalues of the simplified ideal MHD ballooning equation

DOI10.1063/1.526987zbMath0599.76055OpenAlexW2030142034MaRDI QIDQ3735296

R. Y. Dagazian, N. Auby, Richard B. Paris

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526987

zbMATH Keywords

eigenvaluesspectrumfree parametersanalytical approximationsdiscrete part of the spectrumexact eigenvalue relationideal MHD ballooning instabilitymultiparameter Schrödinger eigenvalue problemoblate spheroidal functionsvariation of the amplitude

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Basic methods in fluid mechanics (76M99)

Related Items (3)

Eigenvalue problem in multiparameter optimization problems of theoretical physics ⋮ Uniform asymptotic expansions for oblate spheroidal functions I: positive separation parameter λ ⋮ Moment problem formulation of the simplified ideal magnetohydrodynamics ballooning equation

Cites Work

• Eigenwertkarten der Sphäroiddifferentialgleichung
• Magnetohydrodynamical interchange instability in low-β plasmas in sheared systems
• Asymptotische Entwicklung der Eigenwerte und Eigenfunktionen der Differentialgleichungen der Sphäroid‐Funktionen und der Mathieuschen Funktionen
• Some theorems on perturbation theory. Ill

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