| Project/Area Number |
19740092
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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 |
Global analysis
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| Research Institution | Kyoto Sangyo University |
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Principal Investigator |
YAGISITA Hiroki Kyoto Sangyo University, 理学部, 准教授 (80349828)
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| Project Period (FY) |
2007 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,450,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥450,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥500,000 (Direct Cost: ¥500,000)
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| Keywords | 応用数学 / 解析学 / 関数方程式論 / 応用解析学 / 非線形現象 / 非線形解析学 / 拡散方程式 / 放物型微分方程式 / 力学系 / 放物型偏微分方程式 / 曲率流方程式 / 界面ダイナミクス / 進行波解 / 非線形偏微分方程式 |
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| Research Abstract |
The diffusion phenomenon of the nonlinear system appears in a lot of fields like physics, chemistry, biology, and recently, the financial engineering etc. In them, the localized structure that is called an interface where a rapid state variation concentrates on the narrow confine appears, and there are a lot that understanding the behavior that this interface shows becomes a key to clarify a nonlinear phenomenon. The traveling wave solution is a special solution that composes this interface. In the present study, the dynamics of the interface and the traveling wave in the nonlinear diffusion phenomenon was mathematically analyzed.
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