Thin domains with non-smooth periodic oscillatory boundaries

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:446

Article

Arrieta, Jose M.^1,2  Villanueva-Pesqueira, Manuel¹ 

[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

[2] CSIC UAM UC3M UCM, Inst Ciencias Matemat, C Nicolas Cabrera 13-15, Madrid 28049, Spain

关键词: Thin domain;    Oscillatory boundary;    Homogenization;    Unfolding method;   

DOI  :  10.1016/j.jmaa.2016.08.039

来源: Elsevier

【 摘 要 】

In this work we study in detail how to adapt the unfolding operator method to thin domains with periodic oscillatory boundaries. We present the unfolding method as a general approach which allows us to analyze the behavior of the solutions of a Neumann problem for equation -triangle u+u = f posed in two-dimensional thin domains with an oscillatory boundary. Assuming very mild hypothesis on the regularity of the oscillatory boundary we obtain the homogenized limit problem and corrector results for the three different rusFts depending on the order of the period of the oscillations. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free