2015 Fiscal Year Final Research Report
A study of the global structure of interface dynamics and traveling waves in nonlinear diffusion equations
| Project/Area Number |
23540254
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Kyoto Sangyo University |
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Principal Investigator |
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| Project Period (FY) |
2011-04-28 – 2016-03-31
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| Keywords | 非線形現象 / 非線形解析 / 拡散方程式 |
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| Outline of Final Research Achievements |
We researched on the linear heat equation underlying the study of systems of nonlinear diffusion equations and showed that, in the linear heat equation on the one-dimensional hole line, the details of irregular long-time behaviors such as has been reported in the KPP-Fisher equation and the semi-linear heat equation of Fujita type with super ciritical exponent. Furthermore, we researched on conditions for similar irregular long-time behaviors as ones revealed in the linear equation.
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| Free Research Field |
数学解析
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