Energy identity for the problem of current spreading in the ionosphere

Details Energy identity for the problem of current spreading in the ionosphere Energy identity for the problem of current spreading in the ionosphere

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ge%26ae..26..667u&link_type=abstract

Geomagnetizm i Aeronomiia (ISSN 0016-7940), vol. 26, July-Aug. 1986, p. 667-669. In Russian.

Computer Science

Electric Current, Energy Budgets, Ionospheric Currents, Ohmic Dissipation, Field Aligned Currents, Hilbert Space, Integral Equations, Scalars, Spreading

Scientific paper

An energy identity is obtained which makes possible a new approach to the problem of calculating Joule dissipation (JD) during current spreading in the ionosphere. The full value of the dissipation is represented by a scalar product in the sense of the Hilbert space of the radial component of the field-aligned current and the potential. In a subdomain without field-aligned currents, the JD is determined by the integral of the product of the normal component of the horizontal current and the boundary potential.

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