2010 Fiscal Year Final Research Report
Mathematical approach for spatial pattern in combustion
| Project/Area Number |
21840047
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Meiji University |
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Principal Investigator |
IKEDA Kota Meiji University, 研究・知財戦略機構, 講師 (50553369)
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| Project Period (FY) |
2009 – 2010
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| Keywords | 関数方程式論 / 応用数学 |
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| Research Abstract |
1. We construct a traveling wave solution in a reaction-diffusion model with three components for combustion. We prove the stability of the solution in higher dimension. We reduce our system to a reaction-diffusion system with two components. 2. We derive a differential equation which defines a function to characterize a spiky pattern in a degenerate reaction-diffusion equation. Our paper will be published in a journal.
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