On the asymptotic behaviour of the pure Neumann problem in cylinder-like domains and its applications

被引：3

作者：

Chipot, Michel ^{[1
]}

Zube, Stephanie ^{[1
]}

机构：

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

来源：

ASYMPTOTIC ANALYSIS | 2018年 / 108卷 / 03期

关键词：

Asymptotic behaviour; Neumann problem; stationary equation; ELLIPTIC PROBLEMS; STOKES PROBLEM; ONE DIRECTION; CONVERGENCE;

D O I：

10.3233/ASY-181462

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider in this paper the pure Neumann problem in n-dimensional cylinder-like domains. We are interested in the asymptotic behaviour of the solution of this kind of problems when the domain becomes infinite in p-directions, 1 <= p < n. We show that this solution converges exponentially to the solution of a Neumann problem in the corresponding unbounded domain. We distinguish between the case p = 1 and 1 < p < n the latter requiring a more involved analysis. For p = 1 we consider also the special situation when the domain and the initial data are periodic.

引用

页码：163 / 185

页数：23

共 17 条

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