Existence and uniqueness for spherically symmetric linear transport

DOI10.1080/00411458208230840zbMath0505.45008OpenAlexW2038339906MaRDI QIDQ4740997

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Publication date: 1982

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458208230840

zbMATH Keywords

existenceuniquenessspherical geometryazimuthally symmetricnonmultiplying transportscattering lawsthree-dimensional steady-state linear transport equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Integral operators (45P05) Radiative transfer in astronomy and astrophysics (85A25) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (2)

The criticality of the transport system in a slab geometry with partially reflecting boundary conditions ⋮ The Criticality Eigenvalue Problem for the Transport Operator with General Boundary Conditions

Cites Work

• Convergence of two-dimensional Nyström discrete-ordinates, in solving the linear transport equation
• Subcriticality for transport of multiplying particles in a slab
• Convergence of Chandrasekhar's Method for the Problem of Diffuse Reflection
• Convergence Properties of Discrete-Ordinates Solutions for Neutron Transport in Three-Dimensional Media
• Existence and Uniqueness Theorems for the Neutron Transport Equation
• Convergence of the Discrete-Ordinates Method for Anisotropically Scattering Multiplying Particles in a Subcritical Slab

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