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arXiv · 2511.18812

Recovering discontinuous viscosity coefficients for inverse Stokes problems by boundary measurements

Yu Jia·Chengyu Wu·Hao Wu·Jiaqing Yang
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Abstract

In this paper, we investigate the inverse Stokes problem of determining a discontinuous viscosity coefficient $\mu$ in a bounded domain $\Omega\subset\mathbb{R}^3$. 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 $\mu$ can be uniquely determined from boundary measurements.

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Yu Jia, Chengyu Wu, Hao Wu, Jiaqing Yang. 2025-11-24. Recovering discontinuous viscosity coefficients for inverse Stokes problems by boundary measurements. https://arxiv.org/abs/2511.18812

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