2012 Fiscal Year Final Research Report
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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| Keywords | 散逸系 / 非可磧分系 / 進行波解 / パターン形成 |
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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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Research Products
(9 results)
