PDE seminar: Some Results of the pattern formation in the two-dimensional excitable media

2012-12-10 16:30 - 2012-12-10 17:30
Faculty of Science Building #3, Room 309
Yan-Yu Chen (Graduate School of Advanced Mathematical Sciences, Meiji University)
Recently, many researchers are interesting in the wave
propagation in the excitable media. In general, they study
this phenomenon by some reaction-diffusion system like
FitzHugh-Nagumo system. In this talk, first, I would like to
explain the mechanism of the appearence of spiral wave
by using the wave interaction model proposed by Zykov in
2009. Next, I will show the existence and uniqueness of
the traveling spot by the interface equation derived from
the singular limit method. Finally, I give some numerical
results for the rotating spot.