The self-heating of damp cellulosic materials: II. On the steady states of the spatially distributed case

R. A. Sisson*, A. Swift, G. C. Wake, B. F. Gray

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

In this paper the authors analyse a spatially distributed model for the self-heating of damp cellulosic materials. The equation for the steady-state temperature profiles of the system has a nonlocal dependence on the temperature in the nonlinear expression for the self-heating source term. Some existence, uniqueness, and multiplicity results are presented for the steady states, extending some well-known results to include the nonlocal term.

Original languageEnglish
Pages (from-to)285-306
Number of pages22
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume50
Issue number3
DOIs
Publication statusPublished - 1993
Externally publishedYes

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