2012 Fiscal Year Final Research Report
Structural Analysis on Exponential Attractors for Dissipative Systems
| Project/Area Number |
20340035
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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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 | Osaka University |
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Principal Investigator |
YAGI Atsushi 大阪大学, 情報科学研究科, 教授 (70116119)
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| Co-Investigator(Kenkyū-buntansha) |
KASAI Hideaki 大阪大学, 大学院・工学研究科, 教授 (00177354)
NAGAI Hideo 大阪大学, 大学院・基礎工学研究科, 教授 (70110848)
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| Co-Investigator(Renkei-kenkyūsha) |
TSUJIKAWA Toru 宮崎大学, 工学部, 教授 (10258288)
OSAKI Kouichi 関西学院大学, 理工学部, 教授 (40353320)
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| Project Period (FY) |
2008 – 2012
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| Keywords | 散逸系 / 力学系 / アトラクタ / 確率微分方程式 / 拡散方程式 / 自己組織化 |
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| Research Abstract |
Theoretically we have contributed to devising new methods for construction of exponential attractors for finite and infinite dimensional dynamical systems and new schemes for discretization of advection-reaction-diffusion equations. We have then applied these results to various mathematical models in the real world, that is, construction of exponential attractors for the termite mound building, numerical computation for the tumor induced angiogenesis to investigate behavior of the endothelial cell front, proof of existence of forest natural boundaries forthe forest ecosystem together with their dependence on the forest parameters.
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