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: Waseda University
• 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
• 起止时间: 2011 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23740129/
• 关键词: 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

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.

研究了一类反应扩散方程组解爆破的临界指数和一类反应扩散方程解的生存期。研究的目的是了解溶液爆破的机理。在这项研究中，我们采用矩阵表示的非线性方程。矩阵使分析变得简单，并帮助我们理解爆破的机制。

项目成果

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

• 发表时间: 2012
• 作者: Tanaka;K.E.I.;Nakamoto;T.;Shinya Nishibata;Yusuke Yamauchi
• 通讯作者: Yusuke Yamauchi

Y. Yamauchi

山内溥

• 发表时间: 2011
• 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