WIAS Preprint No. 890, (2003)
Maximal temperature of safe combustion in case of an autocatalytic reaction
- Schneider, Klaus R.
- Shchepakina, Elena A.
2010 Mathematics Subject Classification
- 34E15 80A25
- singular perturbations, canards, combustion
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.