Small scale creation for solutions of the incompressible two dimensional Euler equation
Analysis of PDEs
2014-09-02 v5
Abstract
We construct an initial data for 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.
Keywords
Cite
@article{arxiv.1310.4799,
title = {Small scale creation for solutions of the incompressible two dimensional Euler equation},
author = {Alexander Kiselev and Vladimir Sverak},
journal= {arXiv preprint arXiv:1310.4799},
year = {2014}
}
Comments
Various improvements