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

• 成果类型: Article
• 署名作者: Kiselev, Alexander; Sverak, Vladimir
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.180.3.9
• 发表日期: 2014
• 页码: 1205-1220
• 关键词: inherent instability; fluid; smoothness; mechanics; FLOWS

摘要

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.