- Series
- PDE Seminar
- Time
- Friday, April 19, 2013 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Prof. Alexandaer Kiselev – Univrsity of Wisconsin,-Madison – kiselev@math.wisc.edu
- Organizer
- Ronghua Pan
We discuss a system of two equations involving two diffusing
densities, one of which is chemotactic on the other, and absorbing
reaction. The problem is motivated by modeling of coral life cycle and
in particular breeding process, but the set up is relevant to many
other situations in biology and ecology. The models built on diffusion
and advection alone seem to dramatically under predict the success
rate in coral reproduction. We show that presence of chemotaxis can
significantly increase reproduction rates. On mathematical level, the
first step
in understanding the problem involves derivation of sharp estimates on
rate of convergence to bound state for Fokker-Planck equation with
logarithmic potential in two dimensions.