Mathematical Modelling of Subdiffusion-reaction Systems

Mathematical Modelling of Subdiffusion-reaction Systems
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亚扩散反应系统的数学建模

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发表时间:
2016
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影响因子:
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通讯作者:
A. Nepomnyashchy
A. Nepomnyashchy
中科院分区:
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作者:
A. Nepomnyashchy

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回顾了亚扩散反应系统的理论描述和数学建模的最新进展。讨论了许多次扩散反应模型,包括次扩散限制反应模型以及具有交织的次扩散和反应算子的模型。讨论了不稳定发展和模式形成的具体特征。提到了亚扩散反应模型在特定自然问题中的一些应用。
A review of recent developments in the theoretical description and mathematical modelling of subdiffusion-reaction systems is presented. A number of subdiffusion-reaction models are discussed, including models of subdiffusion-limited reactions and models with intertwined subdiffusion and reaction operators. Specific features of the instability development and pattern formation are discussed. Some applications of subdiffusion-reaction models to specific natural problems are mentioned.
DOI: 10.1103/physrevlett.98.118101
发表时间: 2007-03-16
影响因子: 8.6
作者:
Fedotov, Sergei;Iomin, Alexander
通讯作者: Iomin, Alexander