TY - JOUR
T1 - The self-heating of damp cellulosic materials
T2 - II. On the steady states of the spatially distributed case
AU - Sisson, R. A.
AU - Swift, A.
AU - Wake, G. C.
AU - Gray, B. F.
PY - 1993
Y1 - 1993
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=0027191557&partnerID=8YFLogxK
U2 - 10.1093/imamat/50.3.285
DO - 10.1093/imamat/50.3.285
M3 - Article
AN - SCOPUS:0027191557
SN - 0272-4960
VL - 50
SP - 285
EP - 306
JO - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
JF - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
IS - 3
ER -