一类趋化性模型行波解的存在性

陈学勇, 杨茵

数学学报 ›› 2012, Vol. 55 ›› Issue (5) : 819-828.

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PDF(516 KB)
数学学报 ›› 2012, Vol. 55 ›› Issue (5) : 819-828. DOI: 10.12386/A2012sxxb0079
论文

一类趋化性模型行波解的存在性

    陈学勇1, 杨茵2
作者信息 +

Existence of the Traveling Wave Solutions for a Chemotaxis Equations

    Xue Yong CHEN1, Yin YANG2
Author information +
文章历史 +

摘要

讨论了一类基于趋化性现象的强耦合非线性偏微分方程组, 利用相轨分析方法, 得到了该趋化性模型行波解存在的充分条件和必要条件.

Abstract

We study a strong coupling nonlinear partial differential equations,which modeling the chemotaxis phenomenon.In terms of similar phase plane method,some necessary or suffcient conditions for the existence of traveling wave solutions are obtained.

关键词

行波 / 趋化性 / 强耦合系统 / 相轨分析法

Key words

traveling wave / chemotaxis / strongly coupled systems / similar phase plane method

引用本文

导出引用
陈学勇, 杨茵. 一类趋化性模型行波解的存在性. 数学学报, 2012, 55(5): 819-828 https://doi.org/10.12386/A2012sxxb0079
Xue Yong CHEN, Yin YANG. Existence of the Traveling Wave Solutions for a Chemotaxis Equations. Acta Mathematica Sinica, Chinese Series, 2012, 55(5): 819-828 https://doi.org/10.12386/A2012sxxb0079

参考文献

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基金

国家自然科学基金资助项目(10802043);河南省教育厅自然科学基金资助项目(12A110020)
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