Mathematical analysis of shallow water approximations for water waves
| Project/Area Number |
21540226
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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 | Keio University |
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Principal Investigator |
IGUCHI Tatsuo 慶應義塾大学, 理工学部, 教授 (20294879)
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| Co-Investigator(Kenkyū-buntansha) |
TAKAYAMA Masahiro 慶應義塾大学, 理工学部, 助教 (90338252)
TANI Atsushi 慶應義塾大学, 理工学部, 教授 (90118969)
NODERA Takashi 慶應義塾大学, 理工学部, 教授 (50156212)
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| Co-Investigator(Renkei-kenkyūsha) |
KAGEI Yoshiyuki 九州大学, 大学院・数理研究院, 教授 (80243913)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 水面波 / 水の波 / 浅水波 / 津波 / 流体 / 関数方程式論 / 国際研究者交流 / オーストリア:中国 / アメリカ / アメリカ:中国 |
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| Research Abstract |
In numerical computations of tsunamis due to submarine earthquakes, it is frequently assumed that the initial displacement of the water surface is equal to the permanent shift of the seabed and that the initial velocity field is equal to zero and the shallow water equations are often used to simulate the propagation of tsunamis. Under appropriate assumptions, we give a mathematically rigorous justification of this tsunami model starting from the full water-wave problem.
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Report
(4 results)
Research Products
(41 results)
