Small scale creation for solutions of the incompressible two-dimensional Euler equation

Alexander Kiselev, Vladimir Šverák
2014 Annals of Mathematics  
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