Finite Time Blow-up for the 3D Incompressible Euler Equations
نویسنده
چکیده
We prove the finite time blow-up for solutions of the 3D incompressible Euler equations, which happens along the fluid particle trajectories starting from a set of points. This set is specified by the relation between the deformation tensor and the Hessian of pressure both coupled with the vorticity directions, associated with the initial data. As a corollary of this result we prove the finite time blow-up of the Taylor-Green vortex solution. AMS Subject Classification Number: 35Q35, 76B03
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