Global stability of multi-dimensional traveling fronts
| Project/Area Number |
18540208
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
TANIGUCHI Masaharu Tokyo Institute of Technology, 大学院・情報理工学研究科, 准教授 (30260623)
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| Project Period (FY) |
2006 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥4,150,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥750,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | 多次元進行波 / 安定性 / 反応拡散方程式 / 進行波 / 多次元 / 角錐型 / traveling wave / pyramidal shape / Allen-Cahn / 角錐型進行波 / Allen-Cahn方程式 |
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| Research Abstract |
I studied the Allen-Cahn equation (Nagumo equation) in three-dimensional Euclidean space, and constructed pyramidal traveling front solutions and convex polyhedral traveling front solutions. I also proved that they are stable for given fluctuations.
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Report
(6 results)
Research Products
(39 results)
