2012 Fiscal Year Final Research Report
Development and application ofthe theory of reaction-diffusion system approximation
| Project/Area Number |
22740058
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyushu University (2011-2012)
University of Toyama (2010) |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
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| Keywords | 非線形拡散問題 / 退化放物型問題 / 交差拡散系 / 反応拡散系近似 / 急速反応極限 / 数値解析 / 自由境界問題 / 3重結節点 |
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| Research Abstract |
We dealt with nonlinear diffusion problems arising in a large number of important scientific and industrial contexts. The difficulties arise from the nonlinearity of the diffusion and the problem is how to handle the nonlinearity of the diffusion. In this study, we focused on the theory of reaction-diffusion system approximation in which the solutions of the nonlinear diffusion problems are approximated by those of semilinear reaction-diffusion systems. We achieved several results regarding analysis of Fast reaction limit problems, analysis of reaction-diffusion system approximation and its applications to numerical analysis and mathematical modeling
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