The self-heating of damp cellulosic materials: II. On the steady states of the spatially distributed case
- 1 September 1993
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 50 (3) , 285-306
- https://doi.org/10.1093/imamat/50.3.285
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.Keywords
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