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


Journal Article

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. © 2014 Department of Mathematics, Princeton University.

Full Text

Duke Authors

Cited Authors

  • Kiselev, A; ┼áverák, V

Published Date

  • January 1, 2014

Published In

Volume / Issue

  • 180 / 3

Start / End Page

  • 1205 - 1220

International Standard Serial Number (ISSN)

  • 0003-486X

Digital Object Identifier (DOI)

  • 10.4007/annals.2014.180.3.9

Citation Source

  • Scopus