PIMS / AMI Seminar: Shu Wang

  • Date: 08/06/2019
  • Time: 16:30
Lecturer(s):
Shu Wang, Beijing University of Technology
Location: 

University of Alberta

Topic: 

The global smooth solution of the 3D incompressible Euler andNavier-Stokes equations in spherical coordinates

Description: 

We investigates the globally stabilizing effects of the geometry of the domain and the solution in studying the regularity issue on the three-dimensional incompressible Navier-Stokes and Euler system. We establish the global existence and uniqueness of the smooth solution to the Cauchy problem for the three-dimensional incompressible Navier-Stokes and Euler system, and, also, to the initial boundary value problem for the 3D Navier-Stokes equations, in spherical coordinates for a class of the smooth large initial data. This is the first result on the global existence and uniqueness of the smooth solution to the 3D incompressible Navier-Stokes and  Euler equations in spherical coordinates. The related problems 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.   

Other Information: 

Location: Cameron Library 3-03