Geodesic
Existence and uniqueness for a free boundary problem arising in combustion theory
François Hamel1 orcid ; Régis Monneau2
1Université d'Aix-Marseille, France
2CERMICS - ENPC, Marne-La-Vallée, France
Interfaces and free boundaries, Tome 4 (2002) no. 2, pp. 167-210

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DOI

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.
DOI : 10.4171/ifb/57
Classification : 46-XX, 60-XX
Mots-clés : Free boundary problem; travelling fronts; conical shape; overdetermined elliptic equations; sliding method

François Hamel  1   ; Régis Monneau  2

1 Université d'Aix-Marseille, France
2 CERMICS - ENPC, Marne-La-Vallée, France 
François Hamel; Régis Monneau. Existence and uniqueness for a free boundary problem arising in combustion theory. Interfaces and free boundaries, Tome 4 (2002) no. 2, pp. 167-210. doi: 10.4171/ifb/57
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