Pattern selection in the wake of fronts

Tuesday, September 25, 2012 - 11:30am - 12:20pm
Keller 3-180
Arnd Scheel (University of Minnesota, Twin Cities)
Motivated by precipitation patterns such as Liesegang rings, we discuss
patterns formed in the wake of moving fronts. It turns out that
strikingly simple kinetic mechanisms can lead to a plethora of patterns,
from simple bands and stripes to spirals and helices. We'll discuss a
number of mathematical problems that arise when one tries to predict
which wavenumbers and what type of pattern would arise in the wake of
fronts. Applications include elementary chemistry, patterns in bacteria
colonies, and self-assembly of nano-scale textures.
MSC Code: