STOKES AND NAVIER-STOKES EQUATIONS WITH A NONHOMOGENEOUS DIVERGENCE CONDITION

被引：19

作者：

Raymond, Jean-Pierre ^{[1
,2
]}

机构：

[1] Univ Toulouse, F-31062 Toulouse 9, France

[2] CNRS, Inst Math Toulouse, UMR 5219, F-31062 Toulouse 9, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2010年 / 14卷 / 04期

关键词：

Navier-Stokes equations; nonhomogeneous divergence condition; nonhomogeneous Dirichlet boundary condition; BOUNDARY-VALUE-PROBLEMS; STABILIZATION; COMMUTATIVITE;

D O I：

10.3934/dcdsb.2010.14.1537

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and regularity of solutions to the Stokes and Oseen equations with a nonhomogeneous divergence condition. We also prove the existence of global weak solutions to the 3D Navier-Stokes equations when the divergence is not equal to zero. These equations intervene in control problems for the Navier-Stokes equations and in fluid-structure interaction problems.

引用

页码：1537 / 1564

页数：28

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