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

Alexander Kiselev, Vladimir Šverák

Research output: Contribution to journalArticlepeer-review

66 Scopus citations

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 languageEnglish (US)
Pages (from-to)1205-1220
Number of pages16
JournalAnnals of Mathematics
Volume180
Issue number3
DOIs
StatePublished - Nov 2014

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