Classification by the matrix representing the nonlinearity of the blowing up solutions for a reaction-diffusion system
Classification by the matrix representing the nonlinearity of the blowing up solutions for a reaction-diffusion system
按代表反应扩散系统吹胀溶液非线性的矩阵进行分类
批准号：
23740129
负责人：
YAMAUCHI Yusuke
金额：
$2.41万
依托单位：
依托单位国家：
日本
项目类别：
Grant-in-Aid for Young Scientists (B)
财政年份：
2011
资助国家：
日本
项目状态：
已结题
起止时间：
2011 至 2012
中文摘要
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英文摘要
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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会议论文
Life span of positive solutions for a semilinear heat equation with nondecaying initial data
具有非衰减初始数据的半线性热方程正解的寿命
具有非衰减初始数据的半线性热方程正解的寿命
DOI：
--
发表时间：
2012
期刊：
影响因子：
--
作者：
[Tanaka, K.E.I., Nakamoto, T., Shinya Nishibata, Yusuke Yamauchi]
通讯作者：
Yusuke Yamauchi
Y. Yamauchi
山内溥
山内溥
DOI：
--
发表时间：
2011
期刊：
影响因子：
--
作者：
[M. Shimojo and T, Kagaya, 青井久, 青井久, 青井久, Masahiko Shimojo, 下條 昌彦, Yusuke Yamauchi, Masahiko Shimojo, 下條 昌彦, N. Hayashi and Y. Matsui, Naoya HAYASHI and Yutaka MATSUI, Y. Yamauchi, 竹内 潔,松井 優, Y. Yamauchi, Y. Matsui and K. Takeuchi, Y. Matsui and K. Takeuchi, Y. Yamauchi, Yutaka MATSUI, Life span of positive solutions for a semilinear heat equation with nondecaying initial data]
通讯作者：
Life span of positive solutions for a semilinear heat equation with nondecaying initial data
Biosensors using mesoporous films
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批准号：19H02803
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项目类别：Grant-in-Aid for Scientific Research (B)
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资助金额：$11.56万
-
财政年份：2019
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负责人：YAMAUCHI Yusuke
-
依托单位：
Synthesis of mesoporous metals by molecular templates
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批准号：22750193
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项目类别：Grant-in-Aid for Young Scientists (B)
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资助金额：$2.66万
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财政年份：2010
-
负责人：YAMAUCHI Yusuke
-
依托单位：
Synthesis and Practical Applications of Novel Mesopoorus Metals
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批准号：19850031
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项目类别：Grant-in-Aid for Young Scientists (Start-up)
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资助金额：$2.0万
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财政年份：2007
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负责人：YAMAUCHI Yusuke
-
依托单位：
海外基金
