Logrithm Expansions and Refined Stability Thresholds for Multiple Spots in Reaction-diffusion Systems on a Two-dimensional Domain

Wednesday, June 5, 2013 - 11:00am - 11:45am
Keller 3-180
Jun-Cheng Wei (Chinese University of Hong Kong)
We consider the problem of refined stability thresholds for
multiple spots in general reaction-diffusion systems (Gierer-Meinhardt,
Schnakenberg, Gray-Scott,...). The stability thresholds given by
Wei-Winter (2001, 2003) provide the leading logrithm order which
doesnot depend on the location. Here we obtain the next O(1) term in terms
of Green's function on the locations. We then combine with Floquet-Bloch
theory to study which lattice of spots in the whole space is the most
stable. (Joint work with D. Iron and M. Ward).
MSC Code: