On the Robin problem for Stokes and Navier-Stokes systems

被引：17

作者：

Russo, Remigio ^{[1
]}

Tartaglione, Alfonsina ^{[1
]}

机构：

[1] Univ Naples 2, Dipartimento Matemat, I-81100 Caserta, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2006年 / 16卷 / 05期

关键词：

Stokes system; stationary Navier-Stokes equations; boundary-value problem;

D O I：

10.1142/S0218202506001327

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Robin problem for Stokes and Navier-Stokes systems is considered in a Lipschitz domain with a compact boundary. By making use of the boundary layer potentials approach, it is proved that for Stokes system this problem admits a very weak solution under suitable assumptions on the boundary datum. A similar result is proved for the Navier-Stokes system, provided that the datum is "sufficiently small".

引用

页码：701 / 716

页数：16

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