| 非线性扩散反应方程解的高度不稳定性 |
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| 引用本文： | 孙金海. 非线性扩散反应方程解的高度不稳定性[J]. 华中科技大学学报(自然科学版), 1987, 0(1) |
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| 作者姓名： | 孙金海 |
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| 作者单位： | 华中工学院数学系 |
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| 摘 要： | 本文讨论一类非线性扩散反应方程的古典解在全局意义下不存在的充分条件.文中采用Weiss-Kirchhoff变换,首先将所论问题变形,然后应用散度定理导出所需要的微分不等式.
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| 关 键 词： | 非线性方程 扩散方程 扩散反应方程 不稳定性 |
On Instability of Solutions for Nonlinear Diffusion-Reaction Equations |
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| Sun Jinhai. On Instability of Solutions for Nonlinear Diffusion-Reaction Equations[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1987, 0(1) |
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| Authors: | Sun Jinhai |
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| Abstract: | The sulficient eonditions for nonexistence of global clastical solutions for nonlinear diffusion-reaction equations are discussed, The method of attack is to modify the problem considered with the aid of the Weiss-Kirchhoff transformation and then the divergence theolem is used to deduce the required differemial ine-quality. |
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| Keywords: | Nonlinear equations Diffusion equation Diffusion-reaction equation instability. |
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