Speaker：Shu Wang
Abstract:
We investigates the globally dynamical stabilizing effects of the geometry of the domain at which the flow locates and of the geometry structure of the solutions with the finite energy to the3D incompressible Navier-Stokes and Eulersystems. Under the suitable assumption on G. Lame coefficients, we establish the global well-posedness of the Cauchy problem for the 3D incompressible Navier-Stokes and Euler equations for a new class of the smooth large initial data in orthogonal curvilinear coordinate systems. Moreover, we also establish the existence, uniqueness and exponentially decay rate in time of the global smooth solution to the initial boundary value problem for the 3D Navier-Stokes equations for a class of the smooth large initial data and a large class of the special domain in orthogonal curvilinear coordinate systems. As its application, the corresponding results on the 3D incompressible Navier-Stokes and Euler equations in spherical coordinates are also given. Moreover, the related problems on the axisymmetric Navier-Stokes equations are surveyed and some results on the singularity formation and global regularity of an axisymmetric model for the 3D incompressible Euler and Navier-Stokes equations will also be reviewed.
Time: December 25th16:00
Venue：Lecture Hall,1th Floor, School of Mathematics and Statistics
Speaker Introduction:
Shu Wang is a professor of Beijing University of Technology. He used to be director of China Mathematics Association and dean of School of Applied Mathematics, Beijing University of Technology. In 2001, he was selected as an excellent postdoctoral fellow of Chinese Academy of Sciences.In 2004, he was selected as an outstanding talent of NCET. In 2008, he was selected as an outstanding academic talent (top talent) of Beijing. In 2011, he was selected as a talent of Beijing University of Technology. In 2012, he was in Great Scholars Program. In 2016, he received Special Government Allowances of the State Council. In 1998, he graduated from Nanjing University with a doctor's degree and worked as a postdoctoral student in the Institute of Mathematics, Chinese Academy of Sciences and the University of Vienna, Austria. He mainly studies partial differential equation and it’s application.He has presided 8NFSC projects including 1 key project.He has published 3 monograph, and published more than 100 academic papers in journals like Adv.In Math.,ARMA,SIAM J Math Anal,CPDE,J. Diff. Eqns.
