Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA.
Philos Trans A Math Phys Eng Sci. 2013 Jan 13;371(1982):20120179. doi: 10.1098/rsta.2012.0179.
A review of recent developments in the field of front dynamics in anomalous diffusion-reaction systems is presented. Both fronts between stable phases and those propagating into an unstable phase are considered. A number of models of anomalous diffusion with reaction are discussed, including models with Lévy flights, truncated Lévy flights, subdiffusion-limited reactions and models with intertwined subdiffusion and reaction operators.
本文回顾了异常扩散-反应系统中前沿动力学领域的最新进展。考虑了稳定相之间的前沿和传播到不稳定相的前沿。讨论了一些具有反应的异常扩散模型，包括具有 Lévy 飞行、截断 Lévy 飞行、亚扩散限制反应以及具有交织的亚扩散和反应算子的模型。
