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Bibliographic Details
Main Authors: Jia, Yu, Wu, Chengyu, Wu, Hao, Yang, Jiaqing
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.18812
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Table of 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.