Mathematical analysis on spatio-temporal pattern to generate branching structures
| Project/Area Number |
24740071
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Meiji University |
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Principal Investigator |
Ikeda Kota 明治大学, 公私立大学の部局等, 講師 (50553369)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| 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)
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| Keywords | 自己組織化 / 応用数学 / 関数方程式論 / リーゼガング現象 |
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| 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.
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Report
(5 results)
Research Products
(3 results)
