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We construct an initial data for the two-dimensional Euler equation in abounded smooth symmetric domain such that the gradient of vorticity in$L^{\infty}$ grows as a double exponential in time for all time. Ourconstruction is based on the recent result by Kiselev and \v{S}ver\'{a}k.

Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow