An abstract model for radiative transfer in an atmosphere with reflection by the planetary surface

Details An abstract model for radiative transfer in an atmosphere with reflection by the planetary surface An abstract model for radiative transfer in an atmosphere with reflection by the planetary surface

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985sjma...16..695g&link_type=abstract

SIAM Journal on Mathematical Analysis (ISSN 0036-1410), vol. 16, July 1985, p. 695-702.

Mathematics

1

Atmospheric Boundary Layer, Hilbert Space, Planetary Atmospheres, Planetary Surfaces, Radiative Heat Transfer, Atmospheric Scattering, Boundary Conditions, Boundary Value Problems, Fourier Transformation, Fredholm Equations, Operators (Mathematics), Optical Thickness

Scientific paper

A Hilbert-space model is developed that applies to radiative transfer in a homogeneous, plane-parallel planetary atmosphere. Reflection and absorption by the planetary surface are taken into account by imposing a reflective boundary condition. The existence and uniqueness of the solution of this boundary value problem are established by proving the invertibility of a scattering operator using the Fredholm alternative.

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