Dynamics of charged fluids and 1/ell perturbation expansions

2006/10/31 by Miloslav Znojil, Uwe Guenther, Uwe Günther · 1 citation
Mathematics · Physics and Astronomy · #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math-ph #math.MP #msc:34L16 #msc:34M25 #msc:46N20 #msc:46N60 #msc:76W05 #msc:78M30 #msc:81Q15

paper · pdf · doi:10.1088/1751-8113/40/26/018

published as J. Phys. A: Math. Theor. 40 (2007) 7375-7388. · 16 pp

arxiv created 2007/04/19 · openalex publication_date 2007/06/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 α²-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-ℓ expansions is shown applicable and its main technical steps are outlined.

Citations

• Isospectrality of spherical MHD dynamo operators: Pseudo-hermiticity and a no-go theorem
• MHD α2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
• The MHD α2-Dynamo, Z2-Graded Pseudo-Hermiticity, Level Crossings and Exceptional Points of Branching Type
• Exactly solvable models with -symmetry and with an asymmetric coupling of channels

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