On the self-consistent description of axisymmetric pulsar magnetospheres. II - A method of solution

Computer Science – Numerical Analysis

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Elliptic Differential Equations, Numerical Analysis, Parabolic Differential Equations, Pulsar Magnetospheres, Pulsars, Stellar Atmospheres, Boundary Conditions, Boundary Value Problems, Classifications, Neutron Stars, Stellar Magnetic Fields, Stellar Rotation, Variational Principles

Scientific paper

The general structure of the system of pulsar equations derived in an earlier paper is investigated for the magnetosphere of a parallel rotator including particle inertia. The complete system reduces to one parabolic and two elliptic differential equations. The characteristics are found to be the streamlines. Appropriate variational principles are specified and a method for solving the pulsar equations numerically is proposed. Complete boundary conditions are given. First results for the solution within the corotating zone are presented.

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