Mathematical Modelling of Subdiffusion-reaction Systems

Author: Nepomnyashchy A. A.  

Publisher: Edp Sciences

E-ISSN: 1760-6101|11|1|26-36

ISSN: 0973-5348

Source: Mathematical Modelling of Natural Phenomena , Vol.11, Iss.1, 2015-12, pp. : 26-36

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Abstract

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.