The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework

被引：68

作者：

Hieber, Matthias ^{[1
]}

Shibata, Yoshihiro ^{[2
]}

机构：

[1] Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany

[2] Waseda Univ, Sch Sci, Shinjyuku Ku, Tokyo 169, Japan

来源：

MATHEMATISCHE ZEITSCHRIFT | 2010年 / 265卷 / 02期

关键词：

INITIAL DATA; OBSTACLE; EULER;

D O I：

10.1007/s00209-009-0525-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the Navier-Stokes equations in the rotational framework. It is proved that these equations possess a unique global mild solution for arbitrary speed of rotation provided the initial data u(0) is small enough in the H(sigma)(1/2)(R(3))-norm.

引用

页码：481 / 491

页数：11

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