Mathematics
Scientific paper
Mar 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...352..318g&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 352, March 20, 1990, p. 318-332. Research supported by the Universidad de B
Mathematics
4
Branching (Mathematics), Coronal Loops, Magnetohydrodynamic Stability, Nonlinear Evolution Equations, Solar Corona, Thermal Plasmas, Chromosphere, Linear Equations, Solar Prominences, Sunspots
Scientific paper
Starting from the hydrodynamic equations, the present study of the coupling between the hot plasma confined in a coronal loop and the much colder chromospheric plasma at the footprints proceeds to derive a model which generalizes the analysis of Kuin and Marterns (1982) and consistently takes into account the condensation-evaporation process. The linearization of the equations is shown to determine the bifurcation point at which the static equilibrium's stability is lost. In the second part of this work, the nonlinear evolution of these equations is studied both analytically and numerically. The application of a perturbative technique around the critical point indicates the occurrence of a subcritical Hopf bifurcation.
Ferro Fontan Constantino
gomez Domingo
Schifino Sicardi A.
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