| Issue |
Math. Model. Nat. Phenom.
Volume 11, Number 1, 2016
Reviews in mathematical modelling
|
|
|---|---|---|
| Page(s) | 26 - 36 | |
| DOI | https://doi.org/10.1051/mmnp/201611102 | |
| Published online | 03 December 2015 | |
Mathematical Modelling of Subdiffusion-reaction Systems
Department of Mathematics, Technion – Israel
Institute of Technology, 32000
Haifa,
Israel
⋆ Corresponding author. E-mail:
nepom@math.technion.ac.il
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.
Mathematics Subject Classification: 35K57 / 35R11 / 60J60 / 82C70
Key words: subdiffusion / reactions / fractional derivatives / patterns
© EDP Sciences, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.