吸引-排斥趋化流体的连续依赖性
Continuous dependence of attractive-repulsive chemotactic systems
王彦平 1李远飞1
作者信息
- 1. 广州华商学院数据科学学院,广东广州 511300
- 折叠
摘要
考虑模拟阿尔茨海默(Alzheimer)病早期斑块形成的趋化系统,其模型定义在一个具有光滑边界的有界凸区域.假设系统的初始值满足一定的约束条件,推导解的先验估计.利用这些先验估计,证明趋化系统的解的连续依赖于方程中的参数.结果表明,方程中的参数的微小变化不会对系统造成巨大影响.
Abstract
The chemotaxis system simulating the early plaque formation of Alzheimer's disease is considered,which is defined in a truncated convex region with smooth boundary.Assuming that the initial value of the system satisfies certain constraints,a priori estimates of the solutions is derived.Using these a prior estimates,it is proved that the solutions of the chemotaxis system are continuously dependent on the parameter in the equation.The result shows that small changes of the parameters in the equation will not cause great impact to the system.
关键词
趋化系统/连续依赖性/先验界Key words
chemotaxis system/continuous dependence/a priori bounds引用本文复制引用
基金项目
广东省普通高校创新团队项目(2020WCXTD008)
广东华商学院导师制项目()
出版年
2024
NETL
NSTL
万方数据