Dynamics of charged fluids and 1/L perturbation expansions

Abstract

Some features of the calculation of fluid dynamo systems in magnetohydrodynamics are studied. In the coupled set of the ordinary linear differential equations for the spherically symmetric ${\alpha }^2-$dynamos, the problem represented by the presence of the mixed (Robin) boundary conditions is addressed and a new treatment for it is proposed. The perturbation formalism of large$-\ell$ expansions is shown applicable and its main technical steps are outlined.

16 pp

References in corpus (5)

• MHD alpha^2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
• Why dynamos are prone to reversals
• Isospectrality of spherical MHD dynamo operators: pseudo-Hermiticity and a no-go theorem
• Third order spectral branch points in Krein space related setups: PT-symmetric matrix toy model, MHD alpha^2-dynamo, and extended Squire equation
• The MHD alpha^2-dynamo, Z_2-graded pseudo-Hermiticity, level crossings and exceptional points of branching type

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• Time-dependent version of cryptohermitian quantum theory
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• Planarizable Supersymmetric Quantum Toboggans