Small scale creation for solutions of the incompressible two dimensional Euler equation
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🧮 math.AP
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growthdoubleequationeulerexponentialconstructcreationdata
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We construct an initial data for two-dimensional Euler equation in a disk for which the gradient of vorticity exhibits double exponential growth in time for all times. This estimate is known to be sharp - the double exponential growth is the fastest possible growth rate.
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