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

doi:10.1093/imamat/50.3.285

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 journal › Article

17 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 language	English
Pages (from-to)	285-306
Number of pages	22
Journal	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume	50
Issue number	3
DOIs	https://doi.org/10.1093/imamat/50.3.285
Publication status	Published - 1993
Externally published	Yes

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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.",

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AB - 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.

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