Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow
classification
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keywords
gradientsmoothsymmetrictimevorticityboundedconstructconstruction
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We construct an initial data for the two-dimensional Euler equation in a bounded smooth symmetric domain such that the gradient of vorticity in $L^{\infty}$ grows as a double exponential in time for all time. Our construction is based on the recent result by Kiselev and \v{S}ver\'{a}k.
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