An asymptotic-numerical approach to the coronal loop problem

Details An asymptotic-numerical approach to the coronal loop problem An asymptotic-numerical approach to the coronal loop problem

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mmas...13..431v&link_type=abstract

Mathematical Methods in the Applied Sciences (ISSN 0170-4214), vol. 13, Nov. 1990, p. 431-439.

Statistics

Computation

Asymptotic Methods, Computational Astrophysics, Coronal Loops, High Temperature Plasmas, Solar Corona, Boundary Conditions, Boundary Layers, Perturbation Theory, Temperature Gradients

Scientific paper

The coronal loop problem is characterized by mixed boundary conditions and the loop length condition, which is global. Using singular perturbation methods can identify and construct two boundary layers at the base of the loop. Extending this to a combined asymptotic-numerical treatment it is possible to construct two static solutions satisfying the same conditions; this unusual feature arises from the presence of the first boundary layer, which corresponds with a steep temperature gradient and an energy balance dominated by conduction and radiation losses.

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