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Small scale creation for solutions of the incompressible two-dimensional Euler equation
2014
Annals of Mathematics
Preserved Fulltext
We construct an initial data for the 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. 2000 Mathematics Subject Classification. 35Q31,76B03.
doi:10.4007/annals.2014.180.3.9
fatcat:c2lif7s2erdqfebkt5aeursbsu