| 一类弱耦合反应扩散方程组的初边值问题的奇摄动 |
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| 引用本文： | 王吉.一类弱耦合反应扩散方程组的初边值问题的奇摄动[J].陕西师范大学学报,1991(3). |
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| 作者姓名： | 王吉 |
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| 作者单位： | 陕西师大数学系 |
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| 摘 要： | 讨论了一类弱耦合反应扩散方程组的初边值问题的奇摄动。利用多重尺度法构造了边界层项,给出了上、下解的表达式,利用它们研究了误差,得到了解的一致有效渐近展开式,从而证明了解的存在唯一性。
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| 关 键 词： | 奇摄动 渐近展开 一致有效 |
Singular perturbation of the initial boundary-valne problem for a kind weakly cuopled reaction-diffusion equation system |
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| Wang Ji.Singular perturbation of the initial boundary-valne problem for a kind weakly cuopled reaction-diffusion equation system[J].Journal of Shaanxi Normal University: Nat Sci Ed,1991(3). |
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| Authors: | Wang Ji |
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| Institution: | Department of Mathematics |
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| Abstract: | The singular perturbation of the initial boundary-value problem for a kind weakly coupled reaction-diffusion equation system is discussed.The method of mulitiple scales is used to construct the boundary layer term, and give the expression of upper and lower solutions.The error is studied by the upper and lower solutions.The uniformly valid asymptotic expansion is obtained,and the existence and uniqueness of solution is proved. |
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| Keywords: | singular perturbation asymptotic expansion uniformly valid |
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