GLOBALLY BOUNDED IN-TIME SOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM MODELLING CHEMOTAXIS 被引量：3

GLOBALLY BOUNDED IN-TIME SOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM MODELLING CHEMOTAXIS

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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. 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.

作者钟新华江松

机构地区 Department of Basic Courses Beijing Information Technology Institute LCP Institute of Applied Physics and Computational Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2007年第2期421-429,共9页 数学物理学报（B辑英文版）

基金 Supported by the NSF of Jiangxi Province, the NSFC (10225105, 10671023) and a CAEP grant

关键词 Keller-Segel system CHEMOTAXIS globally bounded Keller-Segel system, chemotaxis, globally bounded

分类号 O175.8 [理学—基础数学]

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参考文献8

1Keller E F, Segel L A. Initiation of slime mold aggregation viewed as an instability. J Theor Biol, 1970,26:399-415
2Chen Hua, Zhong Xinhua. Global existence and blow-up for the solutions to nonlinear parabolic-elliptic system modelling chemotaxis. IMA Journal of Applied Mathematics, 2005, 70:221-240
3Nanjundiah V. Chemotaxis, signal relaying, and aggregation morphology. J Theor Biol, 1973, 42:63-105
4Childress S, Percus J K. Nonlinear aspects of chemotaxis. Math Biosci, 1981, 56 217-237
5Yagi A. Norm behavior of solutions to the parabolic system of chemotaxis. Math Japonica, 1997, 45241-265
6Nagai T, Senba T, Yoshida K. Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis. Funkcialaj Ekvacioj, 1997, 40:411-433
7Sobolevskii P E. Equations of parabolic type in a Banach space. Am Math Soc Trans, 1996, 49:1-62
8Lieberman G M. Second Order Parabolic Differential Equations. Singapore: World Scientific, 1996

引证文献3

1陈学勇,刘伟安.GLOBAL ATTRACTOR FOR A DENSITY-DEPENDENT SENSITIVITY CHEMOTAXIS MODEL[J].Acta Mathematica Scientia,2012,32(4):1365-1375.
2张亮,杨国朋.一类非线性Keller-Segel方程的局部零能控性[J].数学物理学报（A辑）,2017,37(5):834-845. 被引量：1
3Ziqian Huang,Junming Zhu.Blow-up for the solutions to nonlinear parabolic-elliptic system modeling chemotaxis[J].International Journal of Biomathematics,2017,10(7):191-203.

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Acta Mathematica Scientia

2007年第2期

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GLOBALLY BOUNDED IN-TIME SOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM MODELLING CHEMOTAXIS 被引量：3

参考文献8

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