安徽大学学报（自然科学版）2025，Vol.49Issue(4)：8-17,10.DOI:10.3969/j.issn.1000-2162.2025.04.002
3维趋化-流体简化模型解的爆破准则
3D blow-up criteria to the simplified chemotaxis-fluid model
摘要
Abstract
In this paper,we consider the blow-up criterion on the solution to the simplified chemotaxis-fluid system in the three-dimensional domain.That is,if the density of the population and the concentration of the nutrient satisfy some suitable conditions,the solutions to this model exist globally in time.This criterion does't require any conditions on the velocity of the fluid.关键词
Keller-Segel方程组/Primitive方程组/趋化/爆破准则Key words
Keller-Segel equations/Primitive equations/chemotaxis/blow-up criterion分类
数理科学引用本文复制引用
闫念念,朱尹..3维趋化-流体简化模型解的爆破准则[J].安徽大学学报（自然科学版）,2025,49(4):8-17,10.基金项目
重庆市教委科学技术研究项目(KJQN202201610) （KJQN202201610）
重庆第二师范学院校级科研项目(19GZKP01,2017BSRC004) （19GZKP01,2017BSRC004）
