Mathematical study to Defect travelling wave in dicipative system
| Project/Area Number |
22540136
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Hiroshima University |
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Principal Investigator |
OHNISHI Isamu 広島大学, 大学院・理学研究科, 准教授 (30262372)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | 散逸系 / 非可磧分系 / 進行波解 / パターン形成 / 散逸構造 / 進行波 / パルス / 大偏差原理 / 反応拡散系 / 変分構造 / 移動境界 |
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| Research Abstract |
Bifurcation analysis to Lugiato-Lefever equation to get desired pattern with use of reduction to center manifold theory. Fine analysis to bifurcation equation leads us to rigorous proof to existence of the secondary bifurcation. Mathematically rigorous analysis to pattern which causes the desired travelling wave. Experiment and numerical simulation to travelling wave in Sol=Gel system and theoretical analysis to it.
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Report
(4 results)
Research Products
(14 results)
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[Book] 生物数学入門2011
Author(s)
Linda J.S. Allen
Total Pages
440
Publisher
共立出版
Related Report
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