In this paper, a 3D chemotaxis-fluid system which includes matrix-valued sensitivity functions and porous medium type diffusion is studied. Assuming that the matrix-valued function and diffusion term satisfy some conditions and suitably regular nonnegative initial data, the global existence of weak solutions is obtain to the system by related theories of partial differential equation and functional analysis.

中文翻译：

---

具有矩阵值超临界灵敏度的 3D 趋化性流体模型的全局可解性

在本文中，研究了包括矩阵值敏感函数和多孔介质类型扩散的 3D 趋化-流体系统。假设矩阵值函数和扩散项满足一定的条件和适当正则的非负初始数据，通过偏微分方程和泛函分析的相关理论，得到系统弱解的全局存在性。