| 一类反应扩散系统全局解的存在性和局部解的非同时Blow-up |
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| 引用本文： | 何立新,江成顺. 一类反应扩散系统全局解的存在性和局部解的非同时Blow-up[J]. 工程数学学报, 2004, 21(4): 509-513,524 |
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| 作者姓名： | 何立新 江成顺 |
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| 作者单位： | 信息工程大学信息工程学院,郑州,450002 |
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| 基金项目： | 河南省高校杰出科研人才创新工程科学基金(2003KJCX008) |
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| 摘 要： | 讨论了一类反应扩散系统在齐次Neumann边界条件下的初边值问题正解的全局存在性和局部解在有限时刻的非同时Blow-up现象。同时，用类似的方法，推广讨论了一些具体的对流反应扩散问题的全局解的存在性。
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| 关 键 词： | 反应扩散系统 全局正解存在性 局部解的非同时Blow-up |
| 文章编号： | 1005-3085(2004)04-0509-05 |
Existence for Global Solutions and Non-simultaneous Blow-up for Local Solutions to some Reaction-diffusion Systems |
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| HE Li-xin,JIANG Chengshun Institute of Information Engineering,University of Information Engineering,Zhengzhou. Existence for Global Solutions and Non-simultaneous Blow-up for Local Solutions to some Reaction-diffusion Systems[J]. Chinese Journal of Engineering Mathematics, 2004, 21(4): 509-513,524 |
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| Authors: | HE Li-xin JIANG Chengshun Institute of Information Engineering University of Information Engineering Zhengzhou |
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| Affiliation: | HE Li-xin,JIANG Chengshun Institute of Information Engineering,University of Information Engineering,Zhengzhou 450002 |
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| Abstract: | The global existence and finite time non-simultaneous blow-up of positive solution forthe initial-boundary value problems to some reaction-diffusion systems with homogeneous Neumannboundary conditions are discussed. Meanwhile, by taking advantage of the similar method, the globalexistence for several concrete convection-reaction-diffusion problems are generalized. |
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| Keywords: | reaction-diffusion systems global existence of the positive solution non-simultaneous blow-up of the local solution |
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