| R~2中具有趋化性的抛物-椭圆系统的解的性态分析 |
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| 引用本文： | 孙贵玲,王爱苹,张荣艳.R~2中具有趋化性的抛物-椭圆系统的解的性态分析[J].数学的实践与认识,2012,42(13):222-227. |
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| 作者姓名： | 孙贵玲 王爱苹 张荣艳 |
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| 作者单位： | 黄河科技学院信息工程学院,河南郑州,450006 |
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| 摘 要： | 在二维空间中讨论了一个抛物-椭圆系统,而该系统来源于生物学中的趋化性模型.主要在Sobolev空间的框架下讨论了解的全局存在性与解的爆破性质,得出结论该系统存在一个门槛值,而该值决定了解全局存在或者发生爆破.最后利用利李亚普诺夫函数给出了定理的证明并得出结论.
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| 关 键 词： | 抛物-椭圆系统 Keller-Segel模型 趋化性 解的爆破 |
Norm Behavior of Solutions To a Parabolic-Elliptic System Modeling Chemotaxis in R2 |
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| SUN Gui-ling
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WANG Ai-ping
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ZHANG Rong-yan.Norm Behavior of Solutions To a Parabolic-Elliptic System Modeling Chemotaxis in R2[J].Mathematics in Practice and Theory,2012,42(13):222-227. |
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| Authors: | SUN Gui-ling WANG Ai-ping ZHANG Rong-yan |
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| Institution: | (College of Information Engineering,Huanghe University of Science and Technology,Zhengzhou 450006,China) |
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| Abstract: | We studied a parabolic-elliptic.system defined on a domain of R~2 which comes from a chemotactic system in Biology.We proved the existence in time or blow up solution to this problem in Sobolev spaces framework.Next we proved that there is a critical number which determines the occurrence of blow-up case.Finally,we gave the proof of the theorem with the help of Lyapunov function. |
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| Keywords: | pajabolic-elliptic system Keller-Segel model chemotaxis blow up of solutions |
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