Recovering discontinuous viscosity coefficients for inverse Stokes problems by boundary measurements
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915634881757184 |
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| author | Jia, Yu Wu, Chengyu Wu, Hao Yang, Jiaqing |
| author_facet | Jia, Yu Wu, Chengyu Wu, Hao Yang, Jiaqing |
| contents | In this paper, we investigate the inverse Stokes problem of determining a discontinuous viscosity coefficient $μ$ in a bounded domain $Ω\subset\mathbb{R}^3$. By analyzing the singularity of the Dirichlet Green's functions in $H^1$-norm and constructing a specifically coupled Stokes-Brinkman system in a localized domain, we prove a global uniqueness theorem that the viscosity coefficient $μ$ can be uniquely determined from boundary measurements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18812 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Recovering discontinuous viscosity coefficients for inverse Stokes problems by boundary measurements Jia, Yu Wu, Chengyu Wu, Hao Yang, Jiaqing Analysis of PDEs In this paper, we investigate the inverse Stokes problem of determining a discontinuous viscosity coefficient $μ$ in a bounded domain $Ω\subset\mathbb{R}^3$. By analyzing the singularity of the Dirichlet Green's functions in $H^1$-norm and constructing a specifically coupled Stokes-Brinkman system in a localized domain, we prove a global uniqueness theorem that the viscosity coefficient $μ$ can be uniquely determined from boundary measurements. |
| title | Recovering discontinuous viscosity coefficients for inverse Stokes problems by boundary measurements |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.18812 |