一类趋化性模型整体解的存在性和一致有界性  

Existence and Uniform Boundedness of Global Solutions of a Chemotaxis System

作　　者：徐茜[1] 赵烨[2] 张莉[1] 

机构地区：[1]北京联合大学基础部,北京100101 [2]北京石油化工学院数理系,北京102617

出　　处：《内蒙古大学学报（自然科学版）》2014年第4期342-347,共6页Journal of Inner Mongolia University：Natural Science Edition

基　　金：北京市教委科技计划资助项目(No.KZ201310028030;No.KM201210017008;No.KM201311417006);北京市自然科学基金资助项目(No.1132003;1122016);国家自然科学基金资助项目(7137023)

摘　　要：对敏感度函数和化学物质产生率满足特定条件的一般趋化性模型的整体解问题进行了研究.应用Amann理论得到了此类趋化性方程组解的局部存在性,并利用解析半群理论和能量方法得到了方程组解的先验估计,从而证明了这一类趋化性模型方程组整体解的存在性及一致有界性.The global solutions of a general chemotaxis system in which the sensitivity function and the creation rate of the chemical substance satisfy some certain conditions are studied.The local existence of solutions of the chemotaxis system is obtained by Amann＇s theory,and the detailed priori estimates of solutions of the system are obtained by analytic semigroup theory and energy methods.Thus,the existence and uniform boundedness of global solutions of this kind of chemotaxis system are proved.

关 键 词：趋化性 整体解存在性 一致有界性 

分 类 号：O175[理学—数学]