Mathematical analysis on overhanging waves
| Project/Area Number |
20740080
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Tokyo University of Science |
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Principal Investigator |
OGAWA Masao Tokyo University of Science, 理工学部, 助教 (50408704)
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| Project Period (FY) |
2008 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 非線形偏微分方程式 / 解析学 |
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| Research Abstract |
The motion of water waves is a prime research subject in fluid dynamics. This motion is usually formulated as the free boundary problem for an irrotational, incompressible and ideal fluid. It is known that the temporally local solution for this problem exists, even if the waves overhang. On the other hand, the motion of the waves of the ocean is rotational. Therefore, we are interested in the water-wave problem without the assumption of the irrotational motion. First, the author has analyzed the linearized problem. This problem is different from the one in the case that the amplitude of the surface is not large. After that, by the result for the linearized problem and the symmetry of the equations, the existence of the temporally local solution for the water-wave problem has been shown.
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Report
(3 results)
Research Products
(8 results)
