Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow

Abstract

We construct an initial data for the two-dimensional Euler equation in a bounded smooth symmetric domain such that the gradient of vorticity in $L^{\infty }$ grows as a double exponential in time for all time. Our construction is based on the recent result by Kiselev and Šverák.

arXiv comment18 pages

References in corpus (2)

• Infinite superlinear growth of the gradient for the two-dimensional Euler equation
• Remark on single exponential bound of the vorticity gradient for the two-dimensional Euler flow around a corner