Homogenization of Stokes Equations in Perforated Domains: A Unified Approach

被引：16

作者：

Lu, Yong ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2020年 / 22卷 / 03期

关键词：

Homogenization; Stokes equations; Perforated domain; Generalized cell problem; VOLUME DISTRIBUTION; TINY HOLES;

D O I：

10.1007/s00021-020-00506-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the homogenization of the Stokes equations in a domain perforated with a large number of small holes which are periodically distributed. Allaire (Arch Ration Mech Anal 113(3):209-259, 1990, Arch Ration Mech Anal 113(3):261-298 1990), gave a systematic study on this problem. In this paper, we introduce a unified proof for different sizes of holes for the homogenization of the Stokes equations by employing a generalized cell problem inspired by Tartar (in: Sanchez-Palencia (ed) Nonhomogeneous media and vibration theory, 1980).

引用

页数：13

共 50 条

[1] Homogenization of Stokes Equations in Perforated Domains: A Unified Approach
Yong Lu
Journal of Mathematical Fluid Mechanics, 2020, 22
[2] Homogenization of the Navier-Stokes equations in perforated domains in the inviscid limit
Hoefer, Richard M.
NONLINEARITY, 2023, 36 (11) : 6019 - 6046
[3] A UNIFIED HOMOGENIZATION APPROACH FOR THE DIRICHLET PROBLEM IN PERFORATED DOMAINS
Jing, Wenjia
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 52 (02) : 1192 - 1220
[4] The Method of Reflections, Homogenization and Screening for Poisson and Stokes Equations in Perforated Domains
Hoefer, Richard M.
Velazquez, Juan J. L.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 227 (03) : 1165 - 1221
[5] Inverse of Divergence and Homogenization of Compressible Navier-Stokes Equations in Randomly Perforated Domains
Bella, Peter
Oschmann, Florian
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023, 247 (02)
[6] Homogenization of Evolutionary Incompressible Navier-Stokes System in Perforated Domains
Lu, Yong
Yang, Peikang
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2023, 25 (01)
[7] HOMOGENIZATION OF ELLIPTIC EQUATIONS WITH SINGULAR PERTURBATIONS IN PERFORATED DOMAINS
Mi, Qingqing
Yang, Tianrui
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (11): : 4463 - 4480
[8] Homogenization and Low Mach Number Limit of Compressible Navier-Stokes Equations in Critically Perforated Domains
Bella, Peter
Oschmann, Florian
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2022, 24 (03)
[9] SHARP CONVERGENCE RATES FOR THE HOMOGENIZATION OF THE STOKES EQUATIONS IN A PERFORATED DOMAIN
Balazi, Loic
Allaire, Gregoire
Omnes, Pascal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2025, 30 (05): : 1550 - 1574
[10] Homogenization of Stationary Navier-Stokes Equations in Domains with 3 Kinds of Typical Holes
Wang Yuanyuan
Yang Yongfu
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021, 34 (03): : 284 - 296

← 1 2 3 4 5 →