2011 Fiscal Year Final Research Report
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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| Keywords | 水面波 / 水の波 / 浅水波 / 津波 |
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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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