Exact solutions and low-frequency instability of the adiabatic auroral arc model

Details Exact solutions and low-frequency instability of the adiabatic auroral arc model Exact solutions and low-frequency instability of the adiabatic auroral arc model

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jgr....9311429c&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 93, Oct. 1, 1988, p. 11429-11435. Research sponsored by Aerospace Corp.

Physics

7

Atmospheric Models, Auroral Arcs, Kinetic Energy, Adiabatic Conditions, Kelvin-Helmholtz Instability, Liouville Theorem, Nonlinear Equations

Scientific paper

The adiabatic auroral arc model couples a kinetic theory parallel current driven by mirror forces to horizontal ionospheric currents; the resulting equations are nonlinear. Some exact stationary solutions to these equations, some of them based on the Liouville equation, are developed, with both latitudinal and longitudinal spatial variations. These Liouville equation exact solutions are related to stability boundaries of low-frequency instabilities such as Kelvin-Helmholtz, as shown by a study of a simplified model.

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