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

• Autores: Alexander Kiselev, Vladimir Sverák
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 180, Nº 3, 2014, págs. 1205-1220
• Idioma: inglés
• DOI: 10.4007/annals.2014.180.3.9
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• Resumen

  • 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