Special Session 7: Emergence and Dynamics of Patterns in Nonlinear Partial Differential Equations and Related Fields

Spiky patterns for the Schnakenberg model on a star shaped graph

Yuta Ishii
National Institute of Technology, Ibaraki College
Japan
Co-Author(s):    
Abstract:
A star shaped graph is a domain composed by a single junction and a finite number of edges. In this talk, spiky stationary solutions to the Schnakenberg model on a star shaped graph is considered. The location, amplitude, and stability of spikes are decided by the effect of the geometry of the graph. Moreover, the lengths of edges are classified when spikes with same amplitude are arranged on edges one by one. In particular, the lengths of edges are not classified into three or more in this case.