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

François Hamel | Zendy; Régis Monneau | Zendy

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

Author(s) -

François Hamel,

Régis Monneau

Publication year - 2002

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/57

Subject(s) - uniqueness , conical surface , boundary (topology) , limit (mathematics) , bunsen burner , free boundary problem , boundary value problem , mathematics , combustion , mathematical analysis , planar , geometry , chemistry , computer science , combustor , computer graphics (images)

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.

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