| 一类交叉扩散系统的定态解和稳定性 |
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| 引用本文： | 傅一平,周笠.一类交叉扩散系统的定态解和稳定性[J].华中科技大学学报(自然科学版),1997(11). |
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| 作者姓名： | 傅一平 周笠 |
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| 作者单位： | 华中理工大学数学系 |
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| 摘 要： | 利用简单特征值分歧定理讨论了一类交叉扩散系统的分歧问题，得到了发自半平凡解的非平凡正定态解的存在性，并给出了关于分歧解的稳定性的条件．
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| 关 键 词： | 交叉扩散系统 分歧 定态解 稳定性 |
The Steady State Solutions and Stability for a System with Cross Diffusion Effect |
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| Fu Yiping Dept. of Mathematics,HUST,Wuhan ,China. Zhou Li.The Steady State Solutions and Stability for a System with Cross Diffusion Effect[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1997(11). |
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| Authors: | Fu Yiping Dept of Mathematics HUST Wuhan China Zhou Li |
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| Institution: | Fu Yiping Dept. of Mathematics,HUST,Wuhan 430074,China. Zhou Li |
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| Abstract: | A class of cross diffusion system is investigated. Taking b and a as bifurcation parameters respectively, the existence of nontrivial bifurcation solutions coming from the semitrivial solutions (u *, 0) and (0, v *) is discussed using the simple eigenvalues bifurcation theorem. The conditions for the stability of the bifurcation solutions are given. |
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| Keywords: | a system with cross diffusion effect bifurcation steady state solution stability |
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