Uniqueness of time-dependent inclusions in anisotropic heat conductive bodies

2022/01/21 by Olivier Poisson, Poisson, Olivier
Computer Science · Engineering · Mathematics · #35K05 #35R30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena #math.AP #msc:35K05 #msc:35R30

paper · pdf · doi:10.48550/arxiv.2201.08722

29 pages

arxiv created 2022/01/21 · openalex publication_date 2022/01/21 · arxiv updated 2022/01/24 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

We consider an inverse boundary value problem for the heat equation with a nonsmooth coefficient of conductivity which models the displacement of a moving body inside a nonhomogeneous background. We prove the uniqueness of the moving inclusion from the knowledge of the Dirichlet-to-Neumann operator by using a dynamical probe method.

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