| 非局部源反应扩散方程组的不同时爆破 |
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| 引用本文： | 蒋良军.非局部源反应扩散方程组的不同时爆破[J].南京晓庄学院学报,2014(6):10-14. |
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| 作者姓名： | 蒋良军 |
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| 作者单位： | 南京晓庄学院 数学与信息技术学院,南京 江苏,211171 |
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| 摘 要： | 文章讨论具齐次Dirichlet边界条件通过非线性指数项耦合的非局部源反应扩散方程组,由四个充分必要条件,给出了同时与不同时爆破现象的最佳完整的分类.我们发现,在某些指数区域内解的爆破性质会更多地依赖初值的选择.
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| 关 键 词： | 不同时爆破 同时爆破 反应扩散方程组 |
Non-simultaneous Blow-up of Solutions for a Diffusion System with Nonlocal Sources |
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| JIANG Liang-jun.Non-simultaneous Blow-up of Solutions for a Diffusion System with Nonlocal Sources[J].Journal of Nanjing Xiaozhuang College,2014(6):10-14. |
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| Authors: | JIANG Liang-jun |
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| Institution: | JIANG Liang-jun ( School of Mathematics and Information Technology, Nanjing Xiaozhuang University, Nanjing 211171, Jiangsu) |
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| Abstract: | This paper deals with nonlocal reaction-diffusion equations coupled via exponential nonlinearities,subject to null Dirichlet boundary conditions.The complete and optimal classification on non-simultaneous and simultaneous blow-ups is proposed by four sufficient and necessary conditions.It has been found out that,in some exponent region,the blow-up properties of the solutions depend much on the initially chosen data. |
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| Keywords: | non-simultaneous blow-up simultaneous blow-up diffusion system |
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