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

Published 5 Nov 2014 in math.AP | (1411.1355v2)

Abstract: 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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Authors (1)

Xiaoqian Xu

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