2006 Fiscal Year Final Research Report Summary
The initial-boundary value problem for a system of nonlinear elastic waves
| Project/Area Number |
16540199
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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 | Future University-Hakodate |
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Principal Investigator |
AGEMI Rentaro Future University-Hakodate, School of systems information science, Professor, システム情報科学部, 教授 (10000845)
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| Co-Investigator(Kenkyū-buntansha) |
TAKAMURA Hiroyuki Future University-Hakodate, School of systems information science, Associate Professor, システム情報科学部, 助教授 (40241781)
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| Project Period (FY) |
2004 – 2006
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| Keywords | system of elastic waves / initial-boundary problem / spherical symmetry / global solution / null condition |
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| Research Abstract |
We studied the initial-boundary problem for spherical symmetric solutions introduced by F.John, where boundary is a sphere. We formulated concretely nonlinear boundary condition so called traction problem for spherical symmetric solution. As the first step toward to nonlinear problem, we established that the energy inequalities for linear initial-boundary problem hold in the interior and exterior domain for any material.
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