Operator-Valued Chandrasekhar H-Functions.

Abstract

Operator valued analogs of the Chandrasekhar H-function that occur in the study of neutron transport in a slab with continuous energy dependence and anisotropic scattering satisfy a system of nonlinear integral equations. An appropriate Banach space setting is found for the study of this system. The system may be solved by iteration. The domain of analyticity of H sub r and H sub l is extended by means of bifurcation theory.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1977
Accession Number
ADA049496

Entities

People

  • Carl Timothy Kelley

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Banach Space
  • Complex Numbers
  • Contracts
  • Equations
  • Identities
  • Integral Equations
  • Integrals
  • Iterations
  • Mathematics
  • Neutron Transport Theory
  • North Carolina
  • Numbers
  • Physical Theories
  • Radiative Transfer
  • Sequences
  • Theorems
  • United States

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Solar Physics

Technology Areas

  • Space