Michon, Mr Christian (2019) A mathematical model for anomalous diffusion PRE - Research Project, ENSTA.



The present report constructs a mathematical model to anomalous diffusion of particles in the atmosphere. After presenting the existing physical models, we present different attempts to fit the data from Copenhagen experiment to a model broadly inspired by the density function of a fractional Brownian motion. A theoretical opening is given to explain why a mathematical model could be much more interesting and useful than a physical one.

Item Type:Thesis (PRE - Research Project)
Uncontrolled Keywords:Anomalous diffusion, Fractional derivatives, Copenhagen experiment, Performance indices, Fractional Brownian motion, Feynman- Kac formulae
Subjects:Mathematics and Applications
Physics, Optics
ID Code:7511
Deposited By:Christian Michon
Deposited On:07 juill. 2021 18:08
Dernière modification:07 juill. 2021 18:08

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