安徽大学学报（自然科学版）2025，Vol.49Issue(4)：38-46,9.DOI:10.3969/j.issn.1000-2162.2025.04.005
3维Bénard磁场微极流方程组的整体适定性
Global well-posedness of the 3D magneto-micropolar Bénard system
宫雪晶 1马宗立1
作者信息
- 1. 安庆师范大学数理学院,安徽安庆 246133
- 折叠
摘要
Abstract
The global well-posedness of incompressible magneto-micropolar Bénard system with dissipative terms and damping terms was studied in three dimensions.Combining with the effect of damping terms on dissipative terms,it was proved that the strong solution of the tropical climate model exists and is unique.The existence of the global strong solution was proved by the method of energy estimation in two cases where δ＞1 is satisfied.Then the uniqueness of the obtained strong solution was proved by the method of difference estimation.It was proved that the magneto-micropolar system with temperature term also has global well-posedness,thus extending the previous research results.关键词
Bénard磁场微极流方程/整体适定性/能量估计/阻尼/耗散Key words
magneto-micropolar Bénard system/global well-posedness/energy estimation/damping/dissipation分类
数理科学引用本文复制引用
宫雪晶,马宗立..3维Bénard磁场微极流方程组的整体适定性[J].安徽大学学报（自然科学版）,2025,49(4):38-46,9.
