2010 Fiscal Year Final Research Report
A study of dynamics of a traveling wave and a interface in nonlinear diffusion equations
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 |
Research Field |
Global analysis
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Research Institution | Kyoto Sangyo University |
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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Keywords | 応用数学 / 解析学 / 関数方程式論 |
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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Research Products
(3 results)