International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 10, Pages 581-607
doi:10.1155/S0161171201006706
Abstract
This paper is devoted to the study of semilinear degenerate elliptic boundary value problems arising in
combustion theory which obey the simple Arrhenius rate law and a
general Newton law of heat exchange. We prove that ignition and
extinction phenomena occur in the stable steady temperature
profile at some critical values of a dimensionless rate of heat
production.