This paper deals with the questions of the existence and uniqueness of solutions to a problem with a conical-shaped free boundary. It is also concerned with providing a complete classification of the solutions to a more abstract Serrin-type free boundary problem. These solutions are proved to be either conical-shaped or planar. Such problems arise in the modelling of premixed equidiffusional Bunsen flames in the limit of high activation energies.
Cite this article
Régis Monneau, François Hamel, Existence and uniqueness for a free boundary problem arising in combustion theory. Interfaces Free Bound. 4 (2002), no. 2, pp. 167–210DOI 10.4171/IFB/57