The radiative transport equation with waiting time and its diffusion approximation with a time-fractional derivative
Analysis of PDEs
2025-05-27 v3 Fluid Dynamics
Abstract
Albeit the past intensive research, the governing equation of anomalous diffusion which is observed for the transport of particles underground is still an open problem. In this paper, as a governing equation, the advection-diffusion equation with a time-fractional derivative term is derived from the radiative transport equation with an integral term for waiting time.
Keywords
Cite
@article{arxiv.2501.01976,
title = {The radiative transport equation with waiting time and its diffusion approximation with a time-fractional derivative},
author = {Manabu Machida},
journal= {arXiv preprint arXiv:2501.01976},
year = {2025}
}