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.

引用

页码：1417 / 1430

页数：13

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