The Dual Role of Convection in 3DNavier-Stokes Equations
Thomas Y. HouApplied and Comput. Math.Caltech
Zuoqiang ShiMathematical Sciences CenterTsinghua University
Shu WangCollege of Applied SciencesBeijing University of Technology
We investigate the dual role of convection on the large time behavior of the 3D incompressible Navier-Stokes equations. On the one hand, convection is responsible for generating small scales dynamically. On the other hand, convection may play a stabilizing role in potentially depleting nonlinear vortex stretching for certain flow geometry. Our study is centered around a 3D model that was recently proposed by Hou and Lei in  for axisymmetric 3D incompressible Navier-Stokes equations with swirl. ...