| 一类抛物型趋化模型的解的存在性 |
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| 引用本文： | 陈化,杨飞,吴少华.一类抛物型趋化模型的解的存在性[J].数学杂志,2014,34(3):521-528. |
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| 作者姓名： | 陈化 杨飞 吴少华 |
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| 作者单位： | 武汉大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助(10971159);国家自然科学基金资助(10971159) |
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| 摘 要： | 本文研究了一类抛物型趋化模型的解的存在性问题.利用算子半群理论,Sobolev嵌入定理及不等式技巧对解进行一些重要的先验估计,然后构造压缩映射证明了模型存在局部解.进一步构造迭代估计来说明不可能存在爆破,从而证明全局解的存在.
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| 关 键 词： | 趋化模型 先验估计 不动点 局部解 全局解 |
| 收稿时间： | 2012/12/19 0:00:00 |
| 修稿时间： | 2013/3/28 0:00:00 |
EXISTENCE OF SOLUTION TO A PARABOLICCHEMOTAXIS MODEL |
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| CHEN Hu,YANG Fei and WU Shao-hua.EXISTENCE OF SOLUTION TO A PARABOLICCHEMOTAXIS MODEL[J].Journal of Mathematics,2014,34(3):521-528. |
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| Authors: | CHEN Hu YANG Fei and WU Shao-hua |
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| Institution: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China,School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China and School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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| Abstract: | In this paper, we study the existence of solution to a parabolic chemotaxis model. First, some crucial priori estimates have been gotten utilizing semigroup theory, Sobolev imbedding and technics in inequality, then flxed point theorem is applied to prove the existence of local solution by constructing a contraction mapping. At last, we prove the global existence by one iteration to show no blow-up occurring. |
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| Keywords: | chemotaxis model priori estimate flxed point local solution global solution |
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