A multi-scale approach to reaction-diffusion processes in domains with microstructure |
Malte Peter (Universität Augsburg) |
Donnerstag, 2018-02-01 17:00Uhr |
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Reaction-diffusion processes occur in many materials with microstructure such as biological cells, steel or concrete. The main difficulty in modelling and simulating accurately such processes is to account for the fine microstructure of the material. One method of upscaling multi-scale problems, which has proven reliable for obtaining feasible macroscopic models rigorously, is the method of periodic homogenisation. The talk will give an introduction to multi-scale modelling of physico-chemical mechanisms in domains with microstructure as well as to the method of periodic homogenisation. Moreover, certain aspects particularly relevant in upscaling reaction-diffusion processes in biological cells will be discussed together with their applications. |