JournalsifbVol. 4 , No. 2DOI 10.4171/ifb/57

Existence and uniqueness for a free boundary problem arising in combustion theory

  • Régis Monneau

    CERMICS - ENPC, Marne-La-Vallée, France
  • François Hamel

    Université d'Aix-Marseille, France
Existence and uniqueness for a free boundary problem arising in combustion theory cover

Abstract

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.