2012 Fiscal Year Final Research Report
Eigenvalue problem of the Lame operator on a domain with a multi- structure
| Project/Area Number |
22540216
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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 | Hokkaido University |
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Principal Investigator |
JIMBO Shuichi 北海道大学, 大学院・理学研究院, 教授 (80201565)
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| Co-Investigator(Kenkyū-buntansha) |
HONDA Naofumi 北海道大学, 大学院・理学研究院, 准教授 (00238817)
NAKAMURA Gen 北海道大学, 名誉教授 (50118535)
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| Project Period (FY) |
2010 – 2012
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| Keywords | ラメ作用素 / 固有値問題 / 領域変形 / 複合構造 |
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| Research Abstract |
I studied the eigenvalu problem of the Lame operator, which is obtained from the oscillation property of elastic body. I dealt with the compex domain which is a union several thin regions. The limit system when the thinnes goes to zero, is a 4th order ODE system with a complicated compatibility condtions on the verticies. I also dealt with the eigenvalue problem of a certain Lame operator with the low stiffness coefficient. I obtained the limit system, which is related with the eigenvalue problem of the Stokes operator in a fluid dynamical problem with the Dirichlet condition or the slip boundary condition.
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