Mathematical analysis on spatio-temporal pattern to generate branching structures

2015 Fiscal Year Final Research Report

• Project/Area Number: 24740071
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Meiji University
• Principal Investigator: Ikeda Kota 明治大学, 公私立大学の部局等, 講師 (50553369)
• Project Period (FY): 2012-04-01 – 2016-03-31
• Keywords: 自己組織化

Outline of Final Research Achievements

We studied a traveling wave solution with pulse shape in general reaction-diffusion systems with excitability. We first derived a linear eigenvalue problem with respect to the traveling wave solution and proved that the solution becomes unstable dependently on a diffusion coefficient. Next we proposed a simplified model for combustion to study a spatio-temporal pattern, called "fingering pattern". This model generates an interface. Also, we can measure parameter values in our model experimentally.

Free Research Field

パターン形成の数理