Temperature of a Nonlinearly Radiating Semi-Infinite Solid

J. B. Keller, W. E. Olmstead

Research output: Contribution to journalArticlepeer-review


A more detailed information has been obtained about the surface temperature of a semiinfinite heat-conducting solid when a given function f(t), expressing the rate of heating of the surface, is greater than or equal to zero and integrable. A sequence of upper and lower bounds on the solid temperatures is derived, and perturbation expansions are defined.
Original languageEnglish
Pages (from-to)559-566
JournalQuarterly of Applied Mathematics
StatePublished - 1972


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