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".
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页码：701 / 716
页数：16
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