WIAS Preprint No. 890, (2003)

Maximal temperature of safe combustion in case of an autocatalytic reaction



Authors

  • Schneider, Klaus R.
  • Shchepakina, Elena A.

2010 Mathematics Subject Classification

  • 34E15 80A25

Keywords

  • singular perturbations, canards, combustion

Abstract

We consider the problem of thermal explosion of a gas mixture in the case of an autocatalytic combustion reaction in a homogeneous medium. We determine the maximal temperature on the trajectories located in the transition region between the slow combustion regime and the explosive one.

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