Three-dimensional transport theory via one-dimensional transport theory

2015/10/29 by Manabu Machida, Machida, Manabu
Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Field-Flow Fractionation Techniques #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Numerical methods in inverse problems #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1510.08731

arxiv created 2015/10/29 · openalex publication_date 2015/10/29 · arxiv updated 2015/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In linear transport theory, three-dimensional equations reduce to one-dimensional equations by means of rotated reference frames. In this paper, we illustrate how the technique works and three-dimensional transport theories are obtained.

Citations

• Numerical algorithms of the radiative transport equation using rotated reference frames for optical tomography with structured illumination

Related

• An inversion formula for transport equation in 3-dimensions using several complex variable analysis
• Rotated reference frames in radiative transport theory
• Euler equations in a 3+1 framework
• Notions of optimal transport theory and how to implement them on a computer
• Analytical discrete ordinates for the three-dimensional radiative radiative equation in the half space