Heat flow from polygons

Michiel van den Berg, Peter Gilkey, Katie Gittins

Research output: Contribution to journalArticle (Academic Journal)peer-review

107 Downloads (Pure)

Abstract

We study the heat flow from an open, bounded set D in $\R^2$ with a polygonal boundary ∂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 ∂D. We calculate the heat content of D in $\R^2$ at t up to an exponentially small remainder as t↓0.
Original languageEnglish
Number of pages20
JournalPotential Analysis
Early online date7 Sep 2019
DOIs
Publication statusE-pub ahead of print - 7 Sep 2019

Keywords

  • Heat content
  • Polygon

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