Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1205-1220 |
| Number of pages | 16 |
| Journal | Annals of Mathematics |
| Volume | 180 |
| Issue number | 3 |
| DOIs | |
| State | Published - Nov 2014 |
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