Research in inverse problems by methods of microlocal analysis and its application to practice
| Project/Area Number |
26400184
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Mathematical analysis
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| Research Institution | 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群) |
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Principal Investigator |
Takiguchi Takashi 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工, 総合教育学群, 准教授 (50523023)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 超局所解析 / 逆問題 / インフラ再整備 / 環境問題 / 非破壊検査 |
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| Outline of Final Research Achievements |
I studied inverse problems by methods of microlocal analysis from the viewpoint of both theory and application. In this research, in view of mutual return between theory and application, we also tried to promote collaboration among industry, engineering and mathematics. As research tasks, I studied the following problems in relation with microlocal analysis and inverse problems; representation of vortex sheets in fluid, uniqueness in Radon transform which is basic for the theory of CT, mathematical model for motion of aqueous solutions in the soil, mathematical sciences to establish an acoustic CT for concrete structures, mathematical model for concentration of radionuclides which is indispensable for environmental rearrangement in Fukushima area after the disastrous accident of FD1NPP.
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Report
(4 results)
Research Products
(17 results)
