BOUNDARY CONTROL OF THE FINITE-TIME BLOW- UP OF THE SOLUTION OF AN EQUATION OF COMBUSTION

Mathematical models of a combustion process in a closed vessel are bas ed on a nonlinear reaction-diffusion equation. This model had been stu died by Gelfand (see [4]) providing exact solutions in some stationnar y particular cases. This paper deals with the control of the temperatu re inside the vessel via the boundary condition. indeed a boundary con dition will be built to make the temperature tend toward infinity befo re a given finite time. The results are based opt the papers of Bebern es and Kassoy (see [1]) and of Kassoy and Poland (see [5] and [6]) con cerning the evolution problem with homogeneous Dirichlet boundary cond ition. Our result can be compared with some finite-time blow-lip condi tion given in [2].