Length of vorticity nodal sets for solutions of the 2D Navier-Stokes equations

被引：9
|
作者：
Kukavica, I [1 ]
机构：
[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2003年 / 28卷 / 3-4期
关键词：
D O I：
10.1081/PDE-120020496
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide an upper bound on the size of the nodal set {x is an element of Omega : omega(x, t) = 0} of the vorticity omega for solutions of the 2D periodic Navier-Stokes equation. The upper bound depends polynomially on the initial condition, viscosity, the size of 2, and 1/t. The result is based on a new bound on the order of vanishing for solutions of partial derivativeu/partial derivativet - Deltau = w (.) delu + vu.
引用
收藏
页码：771 / 793
页数：23
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