Email this article Homogenization of Variational Inequality for the Laplace Operator with Nonlinear Constraint on the Flow in a Domain Perforated by Arbitrary Shaped Sets. Critical Case
- Authors: Shaposhnikova T.A.1, Zubova M.N.1
-
Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 232, No 4 (2018)
- Pages: 573-590
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241361
- DOI: https://doi.org/10.1007/s10958-018-3888-8
- ID: 241361
Cite item
Open Access
Access granted
Subscription Access
Abstract
We construct and justify a homogenized model of the variational inequality with the Laplace operator and a nonlinear boundary constraint on the flow on arbitrary shaped cavities generating perforation of the domain with critical values of parameters.
About the authors
T. A. Shaposhnikova
Lomonosov Moscow State University
Author for correspondence.
Email: shaposh.tan@mail.ru
Russian Federation, Moscow, 119991
M. N. Zubova
Lomonosov Moscow State University
Email: shaposh.tan@mail.ru
Russian Federation, Moscow, 119991
