“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 7263
School of Mathematics
  Title:   On the existence of premixed laminar flames
  Author(s):  A. Razani
  Status:   Published
  Journal: Bull. Aust. Math. Soc.
  Vol.:  69
  Year:  2004
  Pages:   415-427
  Supported by:  IPM
In this article, the existence of travelling wave solutions for premixed laminar flames in a model of slow,"constant density" combustion is studied. The model is governed by a simple system of an exothermic chemical reaction in a gas, via the reaction rate function, which is very natural, as we do not impose the assumption of its continuity. The existence of travelling waves is demonstrated and they are shown to be specific heteroclinic orbits of a three dimensional system of ordinary differential equations, connecting the unburned state points to a burned state point. The existence of these solutions is based on some general topological arguments in ordinary differential equations.

Download TeX format
back to top
scroll left or right