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Volume 34, Issue 3
Homogenization of Stationary Navier-Stokes Equations in Domains with 3 Kinds of Typical Holes

Yuan-Yuan Wang & Yong-Fu Yang

DOI: 10.4208/jpde.v34.n3.6

J. Part. Diff. Eq., 34 (2021), pp. 284-296.

Published online: 2021-07

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  • Abstract

The aim of this paper is to investigate homogenization of stationary Navier-Stokes equations with a Dirichlet boundary condition in domains with 3 kinds of typical holes. For space dimension $N$ =2 and 3, we utilize a unified approach for 3 kinds of tiny holes to accomplish the homogenization of stationary Navier-Stokes equations. The unified approach due to Lu [1] is mainly based on the uniform estimates with respect to ε for the generalized cell problem inspired by Tartar.

  • Keywords

Homogenization, Navier-Stokes equations, perforated domain, cell problem.

  • AMS Subject Headings

35B27, 35B40, 35Q35, 76D05, 76S05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

13505161769@163.com (Yuan-Yuan Wang)

yyang@hhu.edu.cn (Yong-Fu Yang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-34-284, author = {Wang , Yuan-Yuan and Yang , Yong-Fu}, title = {Homogenization of Stationary Navier-Stokes Equations in Domains with 3 Kinds of Typical Holes}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {3}, pages = {284--296}, abstract = {

The aim of this paper is to investigate homogenization of stationary Navier-Stokes equations with a Dirichlet boundary condition in domains with 3 kinds of typical holes. For space dimension $N$ =2 and 3, we utilize a unified approach for 3 kinds of tiny holes to accomplish the homogenization of stationary Navier-Stokes equations. The unified approach due to Lu [1] is mainly based on the uniform estimates with respect to ε for the generalized cell problem inspired by Tartar.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v34.n3.6}, url = {http://global-sci.org/intro/article_detail/jpde/19325.html} }
TY - JOUR T1 - Homogenization of Stationary Navier-Stokes Equations in Domains with 3 Kinds of Typical Holes AU - Wang , Yuan-Yuan AU - Yang , Yong-Fu JO - Journal of Partial Differential Equations VL - 3 SP - 284 EP - 296 PY - 2021 DA - 2021/07 SN - 34 DO - http://doi.org/10.4208/jpde.v34.n3.6 UR - https://global-sci.org/intro/article_detail/jpde/19325.html KW - Homogenization, Navier-Stokes equations, perforated domain, cell problem. AB -

The aim of this paper is to investigate homogenization of stationary Navier-Stokes equations with a Dirichlet boundary condition in domains with 3 kinds of typical holes. For space dimension $N$ =2 and 3, we utilize a unified approach for 3 kinds of tiny holes to accomplish the homogenization of stationary Navier-Stokes equations. The unified approach due to Lu [1] is mainly based on the uniform estimates with respect to ε for the generalized cell problem inspired by Tartar.

Yuan-Yuan Wang & Yong-Fu Yang. (2021). Homogenization of Stationary Navier-Stokes Equations in Domains with 3 Kinds of Typical Holes. Journal of Partial Differential Equations. 34 (3). 284-296. doi:10.4208/jpde.v34.n3.6
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