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The Quarterly Journal of Mechanics and Applied Mathematics 1959 12(3):347-353; doi:10.1093/qjmam/12.3.347
© 1959 by Oxford University Press
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USE OF GREEN'S FUNCTION IN THE SOLUTION OF IONOSPHERIC DIFFUSION PROBLEMS

J. E. C. GLIDDON

( (Queen Mary College Mile End Road, London, E. 1) )

The mathematical analogy between diffusion of ions in the ionosphere and heat conduction in a rod is used to solve the problem of diffusion with an attachment-type law of electron loss. The solution for the case of a constant loss coefficient is obtained in terms of Green's function for the semi-infinite conducting solid. For the case of a loss coefficient which decreases exponentially with height a generalized heat-source is derived and the problem is solved in terms of the corresponding Green's function.


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