科学研究
报告题目:

Existence and exponential decay of global strong solutions to the 3D nonhomogeneous nematic liquid crystal flows with density-dependent viscosity and vacuum

报告人:

李焕元(郑州大学)

报告时间:

报告地点:

金沙9001cc诚为本东北楼四楼报告厅(404)

报告摘要:

In this talk, we are concerned with an initial and boundary value problem to the three-dimensional nonhomogeneous nematic liquid crystal flows with density-dependent viscosity and vacuum. Combining delicate energy method with the structure of the system under consideration, the global well-posedness of strong solutions is established, provided that initial mass and initial gradient of orientation field are both suitably small. In particular, the initial velocity can be arbitrarily large. Furthermore, the exponential decay rate of the strong solution is also obtained.