报告题目 (Title)：微极流体的一些进展

报告人 (Speaker)：潜陈印 教授 (浙江师范大学)

报告时间 (Time)：2023年8月2日（周三） 14:00-16:00

报告地点 (Place)：校本部 F309

邀请人(Inviter)：朱佩成 教授

主办部门：理学院数学系

报告摘要： We talk about the 3D inhomogeneous Micropolar Fluidsfluids system in critical space. We obtain the global well-posedness for the system with density-dependent viscosity in case the initial density and velocity in the critical Besov spaces. Moreover, we also discuss the existence of global weak solution for incompressible Micropolar Fluids equations with the initial density is only bounded. This result corresponds to the celebrated Leray estimate on lifespan of strong solutions to the classical Navier-Stokes equations and the interesting results for 3D inhomogeneous incompressible Navier-Stokes equations by P.Zhang (Adv. Math.2020). This work is joint with Y.Qu，H. Chen and T. Zhang.