| 带有自由边界的反应扩散系统解的整体存在与爆破（英文） |
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| 引用本文： | 王忠谦,贾 哲,袁俊丽,杨作东.带有自由边界的反应扩散系统解的整体存在与爆破（英文）[J].应用数学,2020,33(1):246-255. |
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| 作者姓名： | 王忠谦 贾 哲 袁俊丽 杨作东 |
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| 作者单位： | 1. 江苏第二师范学院数学与信息技术学院, 江苏 南京 210013; 2. 南京师范大学数学科学学院, 江苏 南京 210023; 3. 淮阴师范学院数学与统计学院, 江苏 淮阴 223300; 4. 南京师范大学教师教育学院, 江苏 南京 210097 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(11601193,11571093,11471164) |
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| 摘 要： | 本文研究一类带耦合非线性反应项的反应扩散系统的自由边界问题.为简便起见,假设条件和解都是径向对称的.首先,利用压缩映射定理,给出正解的局部存在性和唯一性.然后,考虑解的爆破性质和长时间行为.
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| 关 键 词： | 反应扩散系统 自由边界 爆破 整体快解 整体慢解 |
Global Existence and Blow-Up of Solutions in Reaction-Diffusion System with Free Boundary |
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| WANG Zhongqian,JIA Zhe,YUAN Junli,YANG Zuodong.Global Existence and Blow-Up of Solutions in Reaction-Diffusion System with Free Boundary[J].Mathematica Applicata,2020,33(1):246-255. |
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| Authors: | WANG Zhongqian JIA Zhe YUAN Junli YANG Zuodong |
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| Institution: | (Mathematics and Information Technology School,Jiangsu Second Normal University,Nanjing 210013,China;School of Mathematics Science,Nanjing Normal University,Nanjing 210023,China;School of Mathematical Science,Huaiyin Normal University,Huaiyin 223300,China;School of Teacher Education,Nanjing Normal University,Nanjing 210097,China) |
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| Abstract: | This paper is concerned with a free boundary problem for the reactiondiffusion system with coupled nonlinear reaction terms.For simplicity,we assume that the conditions and solutions are radially symmetric.At first,we give the local existence and uniqueness of the positive solution.Then,we consider the blowup property and the long time behavior of the solution.When m2-m1>-1;n1-n2>-1,the solution blows up if the initial value are large enough. |
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| Keywords: | Reaction-diffusion system Free boundary Blow up Global fast solution Global slow solution |
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