Linear transport in an exponential atmosphere

Journal Article · Wed Apr 01 04:00:00 EST 1981 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524951· OSTI ID:6530616

Larsen, E W; Mullikin, T W

Two basic theoretical problems concerning linear transport in a subcritical half-space with an exponential scattering ratio are solved. First, the continuum eigenvolutions developed by Mullikin and Siewert are shown to be half-range complete. Second, the singular integral equation developed by Martin for the angular flux exiting the half-space is shown to possess a unique solution.

• Research Organization: Theoretical Division, University of California, Los Alamos Scientific Laboratory, Los Alamos, New Mexico 87545
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 6530616
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 22:4; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
EIGENFUNCTIONS
EQUATIONS
FUNCTIONS
INTEGRAL EQUATIONS
SINGULARITY
TRANSPORT THEORY