2 00 5 Note on the finite time singularities for the 3 D Navier

نویسنده

  • Dongho Chae
چکیده

We study the possibility of the finite time singularity for the 3D incompressible Navier-Stokes equations for ‘large’ force or for small viscosity if the initial velocity satisfies the the condition of initial amplification of the enstrophy. In the case of zero external force, the condition for initial data leading to finite time singularity for small viscosity is specified by some conditions on the deformation tensor of for velocity and the Hessian of the pressure. AMS Subject Classification Number: 35Q30, 76D05, 76D03

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تاریخ انتشار 2005