UNIQUENESS PROBLEMS IN THE MATHEMATICS OF MULTIPLE SCATTERING
Abstract
Some recent mathematical studies concerning the uniqueness of solutions to Chandrasekhar's mathematical formulation of principles of invariance in the theory of radiative transfer are reported. It is shown that the X and Y equations and the psi and phi equations of Chandrasekhar have a multiplicity of solutions for many phase functions describing local scattering, the extent of the nonuniqueness having been only partially explored by Chandrasekhar. The present results should be of interest and concern to those attempting to solve these equations by numerical iteration. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1962
- Accession Number
- AD0278263
Entities
People
- T.w. Mullikin
Organizations
- RAND Corporation