Heat content

2008/03/05 by M. van den Berg, Berg, M. van den, Peter Gilkey +4
Chemistry · Materials Science · Mathematics · #Textile materials and evaluations #math.AP #msc:35K20 #msc:35P99 #msc:58J35 #thermodynamics and calorimetric analyses

paper · pdf · doi:10.48550/arxiv.0803.0675

arxiv created 2008/03/05 · arxiv updated 2009/12/01

Abstract

We study the heat content asymptotics with either Dirichlet or Robin boundary conditions where the initial temperature exhibits radial blowup near the boundary. We show that there is a complete small-time asymptotic expansion and give explicit geometrical formulas for the first few terms in the expansion.

Related

• Neumann heat content asymptotics with singular initial temperature and singular specific heat
• Heat trace asymptotics with singular weight functions II
• Heat content for Gaussian processes: small-time asymptotic analysis
• Heat trace asymptotics with singular weight functions
• The Blow-up Rate Estimates for a System of Heat Equations with Nonlinear Boundary Conditions