Analyses on layers arising in spatially inhomogeneous reaction diffusion equation
Project/Area Number |
24540207
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Global analysis
|
Research Institution | Tokyo University of Marine Science and Technology |
Principal Investigator |
Nakashima Kimie 東京海洋大学, その他部局等, 准教授 (10318800)
|
Project Period (FY) |
2012-04-01 – 2016-03-31
|
Project Status |
Completed (Fiscal Year 2015)
|
Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
|
Keywords | 非線形反応拡散方程式 / 特異摂動問題 / 遷移層 / 空間非一様 / 非線型反応拡散方程式 / 非線形反応拡散系 / 積分項 / 国際研究者交流(中国) / 国際研究者交流(アメリカ) / 反応拡散方程式 / 特異極限 / 国際研究者交流(フランス) / 非線型反応拡散方程式系 / スパイク / 安定性 / 特異現象 / 国際情報交換(アメリカ・中国・フランス) |
Outline of Final Research Achievements |
We study a migration selction model for the solution of gene frequency, which is described by a spatially inhomogeneous reaction diffusion equation. We deal with this equation in one dimensional interval and assume that the diffusion coefficient is very small. We have constructed a steady state with many layers. This steady state is linearly stable. If there is any other nontrivial steady state `u'except for this layered steady-state, u stays close to a solution 0. Moreover, under some condition concerning to spatial inhomogeniety, this layered steady state is unique. We also study a migration selection model with integral term, and have succesfully constructed a layerd soution under the condition where diffusion term is very small.
|
Report
(5 results)
Research Products
(4 results)