Cordoba D, Fefferman C
University of Chicago, Chicago, IL 60637, USA.
Proc Natl Acad Sci U S A. 2001 Apr 10;98(8):4311-2. doi: 10.1073/pnas.061038998. Epub 2001 Mar 27.
We give conditions that rule out formation of sharp fronts for certain two-dimensional incompressible flows. We show that a necessary condition of having a sharp front is that the flow has to have uncontrolled velocity growth. In the case of the quasi-geostrophic equation and two-dimensional Euler equation, we obtain estimates on the formation of semi-uniform fronts.
我们给出了排除某些二维不可压缩流形成尖锐锋面的条件。我们表明，存在尖锐锋面的一个必要条件是流动必须具有不受控制的速度增长。在准地转方程和二维欧拉方程的情况下，我们得到了关于半均匀锋面形成的估计。
