Mathematical analysis on spatio-temporal pattern to generate branching structures

Research Project

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
Project Status	Completed (Fiscal Year 2015)
Budget Amount *help	¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000) Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000) Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000) Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords	自己組織化 / 応用数学 / 関数方程式論 / リーゼガング現象
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.

Report

(5 results)