安庆师范大学学报（自然科学版）2024，Vol.30Issue(2)：15-19,5.DOI:10.13757/j.cnki.cn34-1328/n.2024.02.003
带有阻尼项的三维微极流方程组的整体适定性
Global Well-Posedness of the 3D Micropolar Fluid Equations with Damping
摘要
Abstract
In this paper, the global well-posedness of the incompressible micropolar fluid equations with damping terms in three dimensions is studied. When subjected to a certain conditions, micropolar fluid equations can be reduced to the classi-cal Navier-Stokes equations. Therefore, this paper considers extending the relevant results of the Navier-Stokes equations to the equations of micropolar fluid equations. However, the structure of micropolar fluid equations is more complicated because the micropolar fluid equations consider the micro-rotational velocity field on the basis of the velocity field. By means of the detailed analysis of the structure of the model equations and combining with energy methods. We prove that there is a unique global solution of the equations for 1+3/β+1＜α＜min{5/2,2+3/β+1},β＞1.关键词
微极流方程组/整体适定性/能量估计/阻尼Key words
micropolar fluid equations/global well-posedness/energy methods/damping分类
数理科学引用本文复制引用
祖倩,马宗立..带有阻尼项的三维微极流方程组的整体适定性[J].安庆师范大学学报（自然科学版）,2024,30(2):15-19,5.基金项目
2021年稳定博士科研启动费(213001) （213001）
