Premium
On a problem in condensed two‐phase combustion
Author(s) -
Primicerio Mario,
Xie Weiqing,
Shu Muzeng
Publication year - 1990
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670120606
Subject(s) - exothermic reaction , mathematics , combustion , limit (mathematics) , binary number , phase change , sense (electronics) , phase (matter) , boundary value problem , free boundary problem , boundary (topology) , mathematical analysis , energy (signal processing) , order (exchange) , chemical reaction , thermodynamics , chemistry , physics , statistics , arithmetic , finance , economics , biochemistry , organic chemistry
An exothermic binary chemical reaction of first order is studied, assuming that one of the reactants can undergo a change of phase. In the limit of low activation energy, a one‐dimensional problem is considered and the well‐posedness of the corresponding system of two parabolic equations with a free boundary is proved in a classical sense.