On the Strong Solvability of the Navier-Stokes Equations

被引：158

作者：

Amann, Herbert ^{[1
]}

机构：

[1] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2000年 / 2卷 / 01期

关键词：

Weak; very weak; and strong solutions; existence and uniqueness theorems with rough initial data;

D O I：

10.1007/s000210050018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the strong solvability of the Navier-Stokes equations for rough initial data. We prove that there exists essentially only one maximal strong solution and that various concepts of generalized solutions coincide. We also apply our results to Leray-Hopf weak solutions to get improvements over some known uniqueness and smoothness theorems. We deal with rather general domains including, in particular, those having compact boundaries.

引用

页码：16 / 98

页数：83

共 84 条

[11] EXISTENCE OF WEAK SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS WITH INITIAL DATA IN LP [J].