Classification by the matrix representing the nonlinearity of the blowing up solutions for a reaction-diffusion system
| Project/Area Number |
23740129
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Global analysis
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| Research Institution | Waseda University |
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Principal Investigator |
YAMAUCHI Yusuke 早稲田大学, 重点領域研究機構, 研究員 (00451435)
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| Project Period (FY) |
2011 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2011: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 非線形偏微分方程式 / 非線形放物型方程式 / 解の爆発 / 反応拡散方程式 |
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| Research Abstract |
We study the critical exponent of the blowing up of the solution for a reaction-diffusion system and the life span of the solution for a reaction-diffusion equation. The objective of the study is to understand the mechanism of the blowing up of the solution. In this study, we employ the matrix representing the nonlinearity of the equations. The matrix makes the analysis simple, and helps us to understand the mechanism of the blowing up.
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Report
(3 results)
Research Products
(20 results)
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[Presentation] Y. Yamauchi2011
Author(s)
Life span of positive solutions for a semilinear heat equation with nondecaying initial data
Organizer
One Forum, Two Cities: Aspect of Nonlinear PDEs
Place of Presentation
National Taiwan University
Related Report
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