Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..71...37d&link_type=abstract
Astrophysics and Space Science, vol. 71, no. 1, Aug. 1980, p. 37-43.
Astronomy and Astrophysics
Astrophysics
1
Astrophysics, Atmospheric Physics, Differential Equations, Integral Equations, Radiation Distribution, Boundary Value Problems, Laplace Transformation, Linear Equations, Linear Operators, Operators (Mathematics)
Scientific paper
The simplest form (Busbridge, 1960) of the transfer equation for a time-dependent radiation field in a finite atmosphere is considered. This transfer equation is an integrodifferential equation, the solution of which is based on the method of separation of variables, the Laplace transform, and the theory of singular linear operators. The emergent intensities from the bounding faces of the finite atmosphere are determined in terms of Chandrasekhar's X-Y equations.
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