Nonuniqueness of solutions of the Navier-Stokes equations on Riemannian manifolds

被引：15

作者：

Lichtenfelz, Leandro A. ^{[1
]}

机构：

[1] Univ Notre Dame, Dept Math, South Bend, IN 46556 USA

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2016年 / 50卷 / 03期

关键词：

Navier-Stokes; Harmonic vector fields; Ill-posedness; MOTION;

D O I：

10.1007/s10455-016-9509-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct nonunique solutions of Leray-Hopf type of the Navier-Stokes equations on a noncompact three-dimensional manifold of negative curvature. This answers a question raised by C. Chan and M. Czubak.

引用

页码：237 / 248

页数：12

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