The radiative transport equation in flatland with separation of variables

DOI10.1063/1.4958976zbMath1352.82017arXiv1511.05723OpenAlexW2256032327MaRDI QIDQ3185706

Manabu Machida

Publication date: 4 August 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05723

zbMATH Keywords

radiative transport equationsingular eigenfunctions

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Transport processes in time-dependent statistical mechanics (82C70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Boltzmann equations (35Q20)

Related Items (4)

Radiative Transfer in Half Spaces of Arbitrary Dimension ⋮ Fractional radiative transport in the diffusion approximation ⋮ Radiative transport equation for the Mittag-Leffler path length distribution ⋮ Isotropic Scattering in a Flatland Half-Space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elementary solutions of the transport equation and their applications
• Plasma oscillations
• Fourier-Laplace structure of the inverse scattering problem for the radiative transport equation
• On the dispersion function in particle transport theory
• An Introduction to Radiative Transfer
• Radiative transfer in two-dimensional infinitely extended scattering media
• Radiative transport equation in rotated reference frames
• Approximation errors and model reduction with an application in optical diffusion tomography
• AnF_Nmethod for the radiative transport equation in three dimensions
• Optical tomography: forward and inverse problems
• Scattering theory, orthogonal polynomials, and the transport equation
• Optical tomography in medical imaging
• A consistent theory of neutral particle transport in an infinite medium
• Two-dimensional radiative transfer due to curved Dirac delta line sources
• The Green's function for the radiative transport equation in the slab geometry
• Modified spherical harmonics method for solving the radiative transport equation
• Orthogonality of a Set of Polynomials Encountered in Neutron-Transport and Radiative-Transfer Theories

This page was built for publication: The radiative transport equation in flatland with separation of variables