Existence and Uniqueness of Very Weak Solutions to the Steady-State Navier-Stokes Problem in Lipschitz Domains

被引：2

作者：

Coscia, Vincenzo ^{[1
]}

机构：

[1] Univ Ferrara, Dipartimento Matemat & Informat, Via Machiavelli 35, I-44121 Ferrara, Italy

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2017年 / 19卷 / 04期

关键词：

Stationary Navier Stokes equations; Bounded Lipschitz domains; Boundary-value problem; BOUNDARY DATA; EQUATIONS; SYSTEM;

D O I：

10.1007/s00021-016-0307-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that in a bounded Lipschitz domain of R-3 the steady-state Navier-Stokes equations with boundary data in L-2 (partial derivative Omega)have a very weak solution mu is an element of L-3 (Omega), unique for large viscosity.

引用

页码：819 / 829

页数：11

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