Diffusion on an expanding interval
Diffusion on an expanding interval
- Event time: 11:30am
- Event date: 2nd December 2015
- Speaker: Dr Bartlomiej Waclaw (School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
Event details
The diffusion equation is used to model transport of particles, heat etc. and is usually solved in some fixed geometry e.g. on an interval in 1d, or inside a sphere in 3d. What happens if the domain is not static but changes over time? In this talk I will discuss an example (genetic diversity in a microbial colony) which leads to a particular diffusion equation on an expanding domain with absorbing boundaries, and calculate the probability distribution conditioned on the particle not being absorbed.
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