The large diffusion limit for the heat equation with a dynamical boundary condition

2018/06/16 by Марек Фила, Kazuhiro Ishige, Fila, Marek +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1806.06308

openalex publication_date 2018/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the heat equation on a half-space with a linear dynamical boundary condition. Our main aim is to show that, if the diffusion coefficient tends to infinity, then the solutions converge (in a suitable sense) to solutions of the Laplace equation with the same dynamical boundary condition.

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