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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.26927 |
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| _version_ | 1866917364890599424 |
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| author | Das, Saumyajit Sinha, Kshitij |
| author_facet | Das, Saumyajit Sinha, Kshitij |
| contents | In this article we study the asymptotic behaviour of the solution of the three species chemical reaction-diffusion model with non-homogeneous Neumann boundary condition in a perforated domain. We investigate how the mass inflow at the microscale affects the three-species reaction-diffusion system at the macroscale using two-scale convergence. As the size of the perforations vanishes, the microscale effects are captured by a global source term in the homogenized equation, which remains a three-species reaction-diffusion system but with modified diffusion coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26927 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Homogenization of Three Species Reaction Diffusion Equation in Perforated Domains Das, Saumyajit Sinha, Kshitij Analysis of PDEs In this article we study the asymptotic behaviour of the solution of the three species chemical reaction-diffusion model with non-homogeneous Neumann boundary condition in a perforated domain. We investigate how the mass inflow at the microscale affects the three-species reaction-diffusion system at the macroscale using two-scale convergence. As the size of the perforations vanishes, the microscale effects are captured by a global source term in the homogenized equation, which remains a three-species reaction-diffusion system but with modified diffusion coefficients. |
| title | Homogenization of Three Species Reaction Diffusion Equation in Perforated Domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.26927 |