Special Session 8: Emergence and dynamics of patterns in nonlinear partial differential equations from mathematical science
Contents
We consider the motions of front or pulse solutions for Fitzh-Hugh Nagumo equations on
one-dimensional heterogeneous media. We derive equations describing the motions
of single front or single pulse solution depending on the heterogeneity and also
consider the interaction of multi-front solutions. Through the analysis, we show
opposite influences for a forward and a backward front solution from the heterogeneity
in FitzHugh-Nagumo equations.
Some part of this research is a joint work with Chao-Nien Chen and Shyuh-yaur Tzeng.