Speaker: James H. Nolen (Duke University)
Title: A free boundary problem from Brownian bees in the infinite swarm llimit in R^d
Speaker's URL: https://scholars.duke.edu/person/nolen
Abstract: I will explain analysis of a free boundary problem for a
parabolic PDE in which the solution is coupled to the moving boundary
through an integral constraint. The problem arises as the hydrodynamic
limit of a stochastic interacting particle system involving branching
Brownian motion with selection, the so-called Brownian bees model. At
each branch event in the branching Brownian motion, a particle is
removed from the system according to a fitness function, so that the
total number of particles, N, is preserved. The free boundary PDE
arises from the limit as N tends to infinity. In the large time limit,
the PDE solution approaches a certain eigenfunction. We also prove that
the so-called strong selection principle holds: the large N and large t
limits commute for the particle system. This is joint work with Julien
Berestycki, Éric Brunet, Sarah Penington.
URL associated with Seminar: https://research.math.osu.edu/pde/
Additional Dates &/or Times
Zoom Link: https://osu.zoom.us/j/6146883919?pwd=M2hHVnFaMjVMb1pYT2FFZGdEVDIwdz09
Meeting ID: 6146883919
Password: 314159
Location
Zoom ID 6146883919 / Password 314159