Finite Time Blow-up of a 3D Model for Incompressible Euler Equations
نویسندگان
چکیده
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, we prove rigorously that the 3D inviscid model develops a finite time singularity for a family of smooth initial data whose energy is finite and conserved in time.
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تاریخ انتشار 2012