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  Heat flow from polygons

van den Berg, M., Gilkey, P., & Gittins, K. (2020). Heat flow from polygons. Potential Analysis, 53(3), 1043-1062. doi:10.1007/s11118-019-09797-5.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-9EED-E Version Permalink: https://hdl.handle.net/21.11116/0000-0007-828E-6
Genre: Journal Article

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Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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 Creators:
van den Berg, M.1, Author           
Gilkey, Peter, Author
Gittins, Katie1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Analysis of PDEs
 Abstract: We study the heat flow from an open, bounded set $D$ in $\R^2$ with a
polygonal boundary $\partial D$. The initial condition is the indicator
function of $D$. A Dirichlet $0$ boundary condition has been imposed on some
but not all of the edges of $\partial D$. We calculate the heat content of $D$
in $\R^2$ at $t$ up to an exponentially small remainder as $t\downarrow 0$.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 20
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1902.02606
URI: http://arxiv.org/abs/1902.02606
DOI: 10.1007/s11118-019-09797-5
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Title: Potential Analysis
  Abbreviation : Potential Anal.
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 53 (3) Sequence Number: - Start / End Page: 1043 - 1062 Identifier: -