Exponential growth of the vorticity gradient for the Euler equation on the torus |
| |
Authors: | Andrej Zlato&scaron |
| |
Affiliation: | Department of Mathematics, University of Wisconsin, Madison, WI 53706, USA |
| |
Abstract: | We prove that there are solutions to the Euler equation on the torus with C1,α vorticity and smooth except at one point such that the vorticity gradient grows in L∞ at least exponentially as t→∞. The same result is shown to hold for the vorticity Hessian and smooth solutions. Our proofs use a version of a recent result by Kiselev and Šverák [6]. |
| |
Keywords: | Euler equations on the torus Vorticity gradient growth |
本文献已被 ScienceDirect 等数据库收录! |
|