| Project/Area Number |
22540198
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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 |
Basic analysis
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| Research Institution | Ehime University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
NAKAZAWA Hideo 日本医科大学, 医学部, 教授 (80383371)
WATANABE Kazuo 学習院大学, 理学部, 助教 (90260851)
WATANABE Michiyuki 新潟大学, 人文社会教育科学系, 准教授 (90374181)
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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: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | 半空間弾性波 / P 波と S 波 / レイリー波 / ヘルムホルツ方程式 / 定常位相の方法 / P波とS波 / Ralyleigh波 / レゾルベント / 散乱振幅 / 停留点 |
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| Research Abstract |
We studied the solutions to the Helmholtz equation with respect to elastic wave in 3-dimensional half space with free boundary.Especially, we studied the asymptotic forms of infinite direction of space. As the results, we obtained the asymptotic forms concerning P mode, R mode, SV mode (the reflected P wave component only), SH mode and SV+SV0 mode (except for the reflected P wave component), respectively. But, for the asymptotic forms concerning SH mode and SV+SV0 mode, the direction of North pole was excepted. We also obtained the results concerning scattering and inverse scattering problem for wave equations with dissipative terms, inverse problem for nonlinear Schrodinger equations and the regularity (at interface) of the solutions to a system of first order partial differential equation as the related topics.
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