期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2006
卷号：2006
DOI：10.1155/IJMMS/2006/24391
出版社：Hindawi Publishing Corporation
摘要：Comparison arguments are used to study a problem in combustion
theory consisting of a nonlinear parabolic equation together with
initial and boundary conditions. Upper and lower bounds for the
problem are constructed. The lower solutions are used to determine
whether the solution of the problem is increasing in time for
certain initial condition. Numerical results are presented for the
slab, infinite cylinder, and unit sphere. The bounds are compared
with the existing ones in the literature for the slab geometry.
