Angelo Vulpiani - Università di Roma "La Sapienza” - TRANSPORT OF INERT AND REACTING MATERIALS
The course will focus on passive transport phenomena both of inert (e.g. pollutants in the Oceans or
the atmosphere) and reacting (i.e. chemical reactions) solutes. The key topics which will be addressed
are Chaos, the relations with Stochastic Processes and applications in both biological and technical
frameworks.
I General aspects of di_usion
1.1 Brownian motion and Fokker-Planck Equation
1.2 Di_usion in deterministic systems
1.3 Lagrangian Chaos
II Standard and anomalous di_usion
2.1 The multiscale method for the asymptotic behaviour of the Fokker- Planck Equation
2.2 Anomalous Di_usion
III Front propagation
3.1 Some basic ideas on reaction-di_usion systems
3.2 The classical result for the front propagation for reaction-di_usion in 1D (Fisher-Kolmogorov-Petrovskii-Piskunov)
3.3 Front propagation in stirred media
3.4 The geometrical optics limit in laminar flows
3.5 Reaction-di_usion on graphs
Schedule
Tue 03 July 16:00 - 17:30, Aula 7D
Wed 04 July 11:30 - 13:00, Aula 7D
Thu 05 July 16:00 - 17:30, Aula 7D
Fri 06 July 11:30 - 13:00, Aula 7D
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