Structure of Helicity and Global Solutions of Incompressible Navier–Stokes Equation

被引：2
|
作者：
Zhen Lei
Fang-Hua Lin
Yi Zhou
机构：
[1] Fudan University,School of Mathematical Sciences (and SCMC, LMNS and SKLCAM)
[2] New York University,Courant Institute of Mathematics
[3] ECNU,Institute of Mathematical Sciences
[4] NYU,undefined
来源：
Archive for Rational Mechanics and Analysis | 2015年 / 218卷
关键词：
Initial Data; Stokes Equation; Global Solution; Smooth Solution; Global Regularity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we derive a new energy identity for the three-dimensional incompressible Navier–Stokes equations by a special structure of helicity. The new energy functional is critical with respect to the natural scalings of the Navier–Stokes equations. Moreover, it is conditionally coercive. As an application we construct a family of finite energy smooth solutions to the Navier–Stokes equations whose critical norms can be arbitrarily large.
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页码：1417 / 1430
页数：13
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