Dynamics of charged fluids and 1/L perturbation expansions
arXiv:math-ph/0610055 · doi:10.1088/1751-8113/40/26/018
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 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 expansions is shown applicable and its main technical steps are outlined.
16 pp
References in corpus (13)
- MHD alpha^2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
- Asymmetric polarity reversals, bimodal field distribution, and coherence resonance in a spherically symmetric mean-field dynamo model
- Why dynamos are prone to reversals
- Krein space related perturbation theory for MHD alpha-2-dynamos and resonant unfolding of diabolical points
- PT symmetric pseudo-perturbation recipe; an imaginary cubic oscillator with spikes
- Coupled-channel version of PT-symmetric square well
- Asymptotic solvability of an imaginary cubic oscillator with spikes
- Oscillating α^2-dynamos and the reversal phenomenon of the global geodynamo
- 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
- Exactly solvable models with PT-symmetry and with an asymmetric coupling of channels
- The MHD alpha^2-dynamo, Z_2-graded pseudo-Hermiticity, level crossings and exceptional points of branching type
- Low-lying spectra in anharmonic three-body oscillators with a strong short-range repulsion