Lecture | July 8, 2017 | 4:30 p.m. | Room 224 in Nanhai Building

Speaker: YAO Zhengan (from Zhongshan University)

ABOUT YAO ZHENGAN

Professor Yao Zhengan, Dean of School of Mathematics in Sun Yat-sen University, is a professor, doctoral tutor, Secretary-General in Guangdong Provincial Mathematical Society, executive director of the Chinese Mathematical Society, expert of the National Natural Science Foundation and a member of the Ministry of education of the University Teaching Steering Committee.

ABSTRACT

In this talk, we investigate the global existence and long-time behavior of classical solution for the com-pressible nematic liquid crystal flows in three-dimensional whole space. First of all, the global existence of classical solution is established under the condition that the initial data are close to the constant equilibrium state in HN(R3)(N≥3)-framework. Then, one establishes algebraic time decay for the classical solution by weighted energy method. Finally, the algebraic decay rate of classical solution in Lp(R3)-norm with 2 ≤p≤∞and optimal decay rate of their spatial derivative in L2(R3)-norm are obtained if the initial perturbation belong to L1(R3)additionally. Prof. Yao presided over two projects and completed several provincial fund of National Natural Science Foundation. Besides, he also presided over or participated in more than 30 cross-projects and completed the national security agencies project, involving image processing or secure image transmission. He has published more than 120 academic papers and a book.