Two-dimensional isothermal magnetostatic equilibria in a gravitational field. I - Unsheared equilibria

Astronomy and Astrophysics – Astrophysics

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Gravitational Fields, Interstellar Magnetic Fields, Interstellar Matter, Magnetostatics, Stellar Coronas, Stellar Magnetic Fields, Boundary Value Problems, Existence Theorems, Iterative Solution, Uniqueness Theorem, Variational Principles

Scientific paper

Some new results concerning the structure and the quasi-static evolution of two-dimensional x-invariant magnetostatic equilibria in the half-space (z greater than 0) are presented. The plasma pressure p and the gravity are taken into account, but the field is assumed to be shearless (Bx = 0). The values of Bz and of p are given on the boundary (z =0). The problem of the existence of solutions is discussed, and some of their general properties are determined.

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