An abstract model for radiative transfer in an atmosphere with reflection by the planetary surface.
Abstract
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.
- Publication:
-
SIAM Journal of Mathematical Analysis
- Pub Date:
- July 1985
- Bibcode:
- 1985SJMA...16..695G
- Keywords:
-
- 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;
- Thermodynamics and Statistical Physics;
- Planetary Atmospheres:Radiative Transfer;
- Radiative Transfer:Planetary Atmospheres