Asymptotic profile of solutions to the heat equation on thin plate with\n boundary heating

2020/09/18 by Eun-ho Lee, Lee, Eun-ho, Woocheol Choi +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2009.08890

openalex publication_date 2020/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this section, we consider the heat equation on a plate with thickness h >\n0 being heated by a heat source on upper and lower faces of the plate. We\nobtain an asymptotic profile of the solution as the thickness h > 0 approaches\nto zero.\n

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