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| GLOBALLY BOUNDED IN-TIME SOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM MODELLING CHEMOTAXIS | |
| 引用本文： | 钟新华 江松. GLOBALLY BOUNDED IN-TIME SOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM MODELLING CHEMOTAXIS[J]. 数学物理学报(B辑英文版), 2007, 27(2): 421-429. DOI: 10.1016/S0252-9602(07)60042-3 |
| 作者姓名： | 钟新华 江松 |
| 作者单位： | Department of Basic Courses Beijing Information Technology Institute，LCP Institute of Applied Physics and Computational Mathematics，Beijing 100101，China LCP，Institute of Applied Physics and Computational Mathematics，Beijing 100088，China，Beijing 100088，China |
| 基金项目： | 江西省自然科学基金，国家自然科学基金，a CAEP grant |
| 摘 要： | In this article, the globally bounded in-time pointwise estimate of solutions to the simplified Keller-Segel system modelling chemotaxis are derived. Moreover, a local existence theorem is obtained. |
| 关 键 词： | 趋化现象 抛物线-椭圆形系统 全局有界性 Keller-Segel系统 |
| 收稿时间： | 2005-03-02 |
Globally bounded in-time solutions to a parabolic-elliptic system modelling chemotaxis |
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| Xinhua Zhong,Song Jiang,. Globally bounded in-time solutions to a parabolic-elliptic system modelling chemotaxis[J]. Acta Mathematica Scientia, 2007, 27(2): 421-429. DOI: 10.1016/S0252-9602(07)60042-3 | |
| Authors: | Xinhua Zhong Song Jiang |
| Affiliation: | aDepartment of Basic Courses, Beijing Information Technology Institute, Beijing 100101, China, LCP, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;bLCP, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
| Abstract: | In this article, the globally bounded in-time pointwise estimate of solutions to the simplified Keller-Segel system modelling chemotaxis are derived. Moreover, a local existence theorem is obtained. |
| Keywords: | Keller-Segel system chemotaxis globally bounded |
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