Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces

被引：10

作者：

Cheskidov, A. ^{[1
]}

Shvydkoy, R. ^{[1
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 11期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes equations; REGULARITY;

D O I：

10.1063/1.4765332

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the incompressible Navier-Stokes equations with a fractional Laplacian and prove the existence of discontinuous Leray-Hopf solutions in the largest critical space with arbitrarily small initial data. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4765332]

引用

页数：7

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