Correctors for the Nonlinear Wave Equations in Perforated Domains

In this paper, we are concerned with a nonlinear hyperbolic problem in periodically perforated domains with a homogeneous Neumann condition on the holes. By the periodic unfolding method, we derive the corrector results for the homogenization of this problem.

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Bibliographic Details
Published in:Bulletin of the Malaysian Mathematical Sciences Society 2018-07, Vol.41 (3), p.1343-1359
Main Authors: Yang, Zhanying, Yu, Yunxia
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
Nonlinear equations
Wave equations
Citations: Items that this one cites
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Description
Summary:In this paper, we are concerned with a nonlinear hyperbolic problem in periodically perforated domains with a homogeneous Neumann condition on the holes. By the periodic unfolding method, we derive the corrector results for the homogenization of this problem.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-016-0395-2