• Corpus ID: 118542955

Finite Time Blow-up of a 3D Model for Incompressible Euler Equations

  title={Finite Time Blow-up of a 3D Model for Incompressible Euler Equations},
  author={Thomas Y. Hou and Zhen Lei},
  journal={arXiv: Analysis of PDEs},
  • T. Hou, Zhen Lei
  • Published 23 March 2012
  • Mathematics
  • arXiv: Analysis of PDEs
We investigate the role of convection on its large time behavior of 3D incompressible Euler equations. In [15], we constructed a new 3D model by neglecting the convection term from the reformulated axisymmetric Navier-Stokes equations. This model preserves almost all the properties of the full Navier-Stokes equations, including an energy identity for smooth solutions. The numerical evidence presented in [15] seems to support that the 3D model may develop a finite time singularity. In this paper… 
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