A novel method to solve inverse source problem for advection-diffusion equation from final data

2018/06/14 by Zhiyuan Li, Li, Zhiyuan, Gongsheng Li +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1806.05369

arxiv created 2018/06/14 · openalex publication_date 2018/06/14 · arxiv updated 2018/06/15 · openalex created_date 2018/06/21 · openalex updated_date 2026/07/28

Abstract

In this article, for an advection-diffusion equation we study an inverse problem for restoration of source temperature from the information of final temperature profile. The uniqueness of this inverse problem is established by taking an integral transform and using Liouville's theorem (complex analysis).

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