趋化模型中的一个自由边界问题

吴少华

数学学报 ›› 2010, Vol. 53 ›› Issue (3) : 515-524.

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PDF(415 KB)
数学学报 ›› 2010, Vol. 53 ›› Issue (3) : 515-524. DOI: 10.12386/A2010sxxb0057
论文

趋化模型中的一个自由边界问题

    吴少华
作者信息 +

A Free Boundary Problem to a Chemotaxis System

    Shao Hua WU
Author information +
文章历史 +

摘要

本文就一个常见的生物趋化问题建立了相应的自由边界模型,对上述模型得到了其局部弱解的存在性.

Abstract

In this paper, we formulate a free boundary problem with respect to a chemotaxis system, and then establish the local existence of the weak solutions for this free boundary problem.

关键词

趋化系统 / 自由边界 / 弱解

Key words

chemotaxis system / free boundary / weak solutions

引用本文

导出引用
吴少华. 趋化模型中的一个自由边界问题. 数学学报, 2010, 53(3): 515-524 https://doi.org/10.12386/A2010sxxb0057
Shao Hua WU. A Free Boundary Problem to a Chemotaxis System. Acta Mathematica Sinica, Chinese Series, 2010, 53(3): 515-524 https://doi.org/10.12386/A2010sxxb0057

参考文献


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[3] Nanjundiah V., Chemotaxis signal relaying and aggregation morphology, J. Theor. Biol., 1973, 42: 63--105.

[4] Nagai T., Blow-up of radially symmetric solutions to a chemotaxis system, Adv. Math. Sci. Appl., 1995, 5: 581--601.

[5] Childress S., Chemotactic Collapse in two Dimension, Lecture Notes in Biomath, Vol.55. Springer-Verlag, 1984, 61--66.

[6] Chen H., Wu S., On existence of solution for some Hyperbolic-Parabolic type chemotaxis system, IMA J. Appl. Math., 2007, 72: 331--347.

基金

国家自然科学基金资助项目(10971159)

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