| 二维广义细菌模型的定解问题 |
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| 引用本文： | 张长青,吕淑娟.二维广义细菌模型的定解问题[J].哈尔滨理工大学学报,1997,2(1):102-106. |
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| 作者姓名： | 张长青 吕淑娟 |
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| 作者单位： | [1]黑龙江大学 [2]哈尔滨医科大学 |
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| 摘 要： | 讨论了用二维反应扩散方程组描述的二维广义细菌传播模型和它的周期边值问题。用Ｇａｌｅｒｋｉｎ方法，积分估计和紧致性原理证明了问题整体解的存在性，进而证明了整体解的唯一性，作为主要结果的特例，给出了细菌传播模型的周期边值问题整体解的存在性和唯一性。
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| 关 键 词： | 反应扩散方程 细菌传播模型 定解问题 广义 |
On Periodic lnitial Value Problems of Two Dimension Generalized Model of Bacterial Diseases |
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| Zhang Changqing,Lu Shujuan.On Periodic lnitial Value Problems of Two Dimension Generalized Model of Bacterial Diseases[J].Journal of Harbin University of Science and Technology,1997,2(1):102-106. |
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| Authors: | Zhang Changqing Lu Shujuan |
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| Abstract: | ln this paper, the two dimension generalized znodel of bacterial diseases which described by the systems of two dimension reaction diffusion equations is studied, and its period- ic initial value problems are considered. Fint, the existence of global solutions is pmved by raeans of the Galerkin method and the integral priori estimate method and compactness theo- rem, furthenrmore, the uniqueness of the global solutions is proved. Finally, the existence and uniqueness of global solutions for model of bacterial diseases are given . |
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| Keywords: | reaction diffusion equation Galerkin naethod: Gronwall inequality |
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