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arXiv · 1806.06308

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

Marek Fila·Kazuhiro Ishige·Tatsuki Kawakami
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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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Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami. 2018-06-16. The large diffusion limit for the heat equation with a dynamical boundary condition. https://arxiv.org/abs/1806.06308

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