Dynamics of charged fluids and 1/L perturbation expansions

TL;DR

This paper investigates the behavior of charged fluids in magnetohydrodynamics, focusing on spherical dynamo models with Robin boundary conditions and demonstrating the effectiveness of large-b1b5 perturbation expansions.

Contribution

It introduces a new approach to handle Robin boundary conditions in spherical b1^2-dynamo equations and applies large-b1b5 perturbation formalism to these systems.

Findings

Effective treatment of Robin boundary conditions in dynamo equations

Validation of large-b1b5 expansion applicability

Outline of technical steps for perturbation analysis

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.