Homogenization of Non-homogeneous Incompressible Navier-Stokes System in Critically Perforated Domains
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910545720901632 |
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| author | Pan, Jiaojiao |
| author_facet | Pan, Jiaojiao |
| contents | In this paper, we study the homogenization of 3D non-homogeneous incompressible Navier-Stokes system in perforated domains with holes of critical size. The diameter of the holes is of size ε^3, where εis a small parameter measuring the mutual distance between the holes. We show that when εtends to 0, the velocity and density converge to a solution of the non-homogeneous incompressible Navier-Stokes system with a friction term of Brinkman type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20153 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homogenization of Non-homogeneous Incompressible Navier-Stokes System in Critically Perforated Domains Pan, Jiaojiao Analysis of PDEs 35B27, 76M50, 76N06 In this paper, we study the homogenization of 3D non-homogeneous incompressible Navier-Stokes system in perforated domains with holes of critical size. The diameter of the holes is of size ε^3, where εis a small parameter measuring the mutual distance between the holes. We show that when εtends to 0, the velocity and density converge to a solution of the non-homogeneous incompressible Navier-Stokes system with a friction term of Brinkman type. |
| title | Homogenization of Non-homogeneous Incompressible Navier-Stokes System in Critically Perforated Domains |
| topic | Analysis of PDEs 35B27, 76M50, 76N06 |
| url | https://arxiv.org/abs/2407.20153 |