2011 Fiscal Year Final Research Report
Concentration phenomena in spatially inhomogeneous nonlinear reaction-diffusion systems
| Project/Area Number |
20740090
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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 |
Global analysis
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| Research Institution | Tokyo University of Marine Science and Technology |
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Principal Investigator |
NAKASHIMA Kimie 東京海洋大学, 海洋科学技術研究科, 准教授 (10318800)
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| Project Period (FY) |
2008 – 2011
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| Keywords | 非線形現象 / 反応拡散方程式系 / 特異摂動問題 / 遷移層 |
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| Research Abstract |
In reaction-diffusion systems, when diffusion coefficients are very small, solutions sometimes form transition layers. In this research, we consider a model in population genetics which is described by a reaction diffusion equation. We will rigorously prove, under certain conditions, that this equation has a unique nontrivial steady-state, it is linearly stable and has transition layers.
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