Geodesic
Small scale creation for solutions of the incompressible two-dimensional Euler equation
Alexander Kiselev1 ; Vladimir Šverák2
1 Rice University, Houston, TX
2 University of Minnesota, Minneapolis, MN
Annals of mathematics, Tome 180 (2014) no. 3, pp. 1205-1220.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2014.180.3.9

Alexander Kiselev 1 ; Vladimir Šverák 2

1 Rice University, Houston, TX
2 University of Minnesota, Minneapolis, MN 
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Alexander Kiselev; Vladimir Šverák. Small scale creation for solutions of the incompressible two-dimensional Euler equation. Annals of mathematics, Tome 180 (2014) no. 3, pp. 1205-1220. doi : 10.4007/annals.2014.180.3.9. http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.3.9/

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