应用数学和力学2025，Vol.46Issue(4)：551-562,12.DOI:10.21656/1000-0887.450300
含无界时滞的微极流方程组稳态解的稳定性
Stability of Stationary Solutions to Micropolar Fluid Equations With Unbounded Delay
摘要
Abstract
The stability of stationary solutions to micropolar fluid equations with unbounded delay was studied through combination of 4 different techniques with the stability theory.The results show that,when the un-bounded delay function is continuously differentiable with respect to time,the nontrivial stationary solution will be locally stable and the trivial stationary solution will be asymptotically stable;when the unbounded delay function is only continuous with respect to time,the nontrivial stationary solution will be globally stable;when the unbounded delay is a proportional delay,the trivial stationary solution will be polynomially stable.关键词
微极流/无界时滞/稳态解/稳定性/渐近稳定性/多项式稳定性Key words
micropolar fluid/unbounded delay/stationary solution/stability/asymptotic stability/polynomial stability分类
数理科学引用本文复制引用
易卢燕,刘国威..含无界时滞的微极流方程组稳态解的稳定性[J].应用数学和力学,2025,46(4):551-562,12.基金项目
中国博士后科学基金(2022M722105) （2022M722105）
重庆市自然科学基金(面上项目)(CSTB2024NSCQ-MSX1089) （面上项目）
重庆市教育委员会科学技术研究基金(KJQN202200563) 本文作者衷心感谢重庆师范大学研究生科研创新项目(YKC24005)对本文的资助. （KJQN202200563）
