报告题目 (Title)：On well-posedness and decay of strong solutions for 3D incompressible Smectic-A liquid crystal flows
报告人 (Speaker)：Xiaopeng Zhao(赵晓朋) 副教授（东北大学）
报告时间 (Time)：2021年11月21日(周日) 13:30
报告地点 (Place)：线上 腾讯会议 ID：782 679 504
主办部门：理学院数学系
报告摘要： We study a hydrodynamic system that models smectic-A liquid crystal flow in R3. This model consists of the Navier-Stokes equations for fluid velocity coupled with a fourth-order equation for the layer variable. The main purpose is to analyze the well-posedness and asymptotic behavior of strong solutions. We first prove the local well-posedness through the higher order a prior estimates of the solution and Galerkin method. Then we establish the existence of global strong solution provided that the initial data is sufficiently small. Finally, we show the temporary decay estimates for the higher order derivatives of strong solution by using the negative Sobolev norm estimates.