Upper and lower bounds for a reactive-diffuse system with Arrhenius kinetics

Mohammed Al-Refai, Qutaibeh Katatbeh

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number24391
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2006
DOIs
Publication statusPublished - 2006
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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