Unified Study of Turing type Instability
| Project/Area Number |
25400171
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Mathematical analysis
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| Research Institution | Hiroshima University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | Turing 不安定化 / 境界上の相互作用 / ステクロフ固有値 / ディリクレーノイマン写像 / 拡散系 / 多変数系 / Hopfモードの不安定化 / 臨界曲線 / パターン形成 / 境界相互作用 / Hop モードの不安定化 / Turing 型不安定化 / 拡散輸送 / 不安定化閾値曲線 / 固有値問題 / 特殊関数 / 細胞極性 / Turing 型不安化 / 境界での非対角型物質輸送 / 波動モードの不安定化 / 楕円型固有値問題 |
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| Outline of Final Research Achievements |
In this project, we have extended the conventional Turing instability mechanism in two directions. In one direction, the usual Turing mechanism for two component closed systems has been extended to multi-component closed systems. In the other direction, The Turing type mechanism has been extended to open systems, in which mass-transfer through the boundary of the system is present.In the Turing mechanisms for the non-conventional Turing instabililty, both steady and oscillatory instability occur even for systems with equal diffusivity, and in this case, the instability threshold is not a simple inmaginary axis, but is a nonlinearly curved. The curve is determined solely by the domain under consideration and the Laplace operator on it.
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Report
(4 results)
Research Products
(15 results)
