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

页码：771 / 793

页数：23

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