具有非线性边界条件的趋化性模型解的爆破时间下界估计  

Lower Bound of the Blow-up Time for a Model of Chemotaxis with Nonlinear Boundary Condition

作　　者：李远飞[1] 雷彩明[1] 

机构地区：[1]广东财经大学华商学院,广州511300

出　　处：《应用数学学报》2015年第6期1097-1102,共6页Acta Mathematicae Applicatae Sinica

基　　金：广东高校优秀青年创新人才培养计划(自然科学)(2013LYM_0112)资助项目

摘　　要：本文主要研究具有非线性边界条件的趋化性模型的爆破现象.在对已知的数据项进行一定的约束条件下,当"爆破"发生时本文推导出了爆破时间的下界.This paper deals with the blow-up phenomena for a model of chemotaxis with nonlinear boundary conditions. Under suitable conditions on the positive initial conditions, we establish a blow-up result for certain solution with positive initial energy. Using the the differential inequality technique, lower bound for blow-up time is derived if the blow-up occurs.

关 键 词：爆破 全局解 趋化性模型 

分 类 号：O175.29[理学—数学]