Mathematical Biology seminar
Kei-ichi Ueda
Research Institute for Mathematical Sciences,
Kyoto University
"Pulse splitting in reaction-diffusion systems on
growing domains"
October 6
3:05pm in LCB 215
A cascade process of pulse (stripe) splitting can occur
if the domain size increases for reaction-diffusion
systems . When we take a single pulse as the initial
data on an initially small domain, the patterns we
obtain finally depends on the domain growth speed. For
instance, the number of stripes increases as powers of
2; namely, each stripe doubles as its size grows
rapidly. In order to describe the splitting process,
we construct an invariant manifold near the onset of
splitting, and derive the nonlinear ODE on it.
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Mathematical Biology Program
Department of Mathematics
University of Utah
155 South 1400 East Room 233
Salt Lake City, UT 84112
rasmusse@math.utah.edu
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