For first-time blowup solutions of the 3D incompressible Euler equations in a bounded domain, the L^infty norms of vorticity derivatives satisfy explicit pointwise-in-time lower bounds, and the associated Gronwall inequality admits wildly oscillating solutions.
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On the blowup rate of vorticity for the Euler equations in a bounded domain
For first-time blowup solutions of the 3D incompressible Euler equations in a bounded domain, the L^infty norms of vorticity derivatives satisfy explicit pointwise-in-time lower bounds, and the associated Gronwall inequality admits wildly oscillating solutions.