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
祖倩,马宗立
摘要(Abstract)：
本文研究了在三维情形下带有阻尼项的不可压微极流方程组的整体适定性问题。在某些特定条件下，微极流方程组可以退化成经典的Navier-Stokes方程组，因此考虑将Navier-Stokes方程组的相关成果推广到微极流方程组。由于微极流方程组在速度场基础上考虑了微旋转速度场，其结构更加复杂。本文通过对微极流方程组的非线性结构细致分析和能量估计，得到了当■时方程组存在唯一的整体解。
关键词(KeyWords)： 微极流方程组;整体适定性;能量估计;阻尼
基金项目(Foundation): 2021年稳定博士科研启动费（213001）
作者(Author): 祖倩,马宗立
DOI: 10.13757/j.cnki.cn34-1328/n.2024.02.003
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