Geodesic
ONE DIMENSIONAL COMBUSTION FREE BOUNDARY PROBLEM
Glasgow mathematical journal, Tome 46 (2004) no. 1, pp. 63-75

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DOI

A free boundary problem for a parabolic system arising from the mathematical theory of combustion will be considered in the one dimensional case. The existence and uniqueness of the classical solution locally in time will be obtained by the use of a fixed point theorem. Also the existence of the classical solution globally in time and a convergence result with respect to a parameter $\lambda$ will be proved under some reasonable assumptions.
DOI : 10.1017/S0017089503001538
Mots-clés : 35R35 
YI, FAHUAI. ONE DIMENSIONAL COMBUSTION FREE BOUNDARY PROBLEM. Glasgow mathematical journal, Tome 46 (2004) no. 1, pp. 63-75. doi: 10.1017/S0017089503001538
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     title = {ONE {DIMENSIONAL} {COMBUSTION} {FREE} {BOUNDARY} {PROBLEM}},
     journal = {Glasgow mathematical journal},
     pages = {63--75},
     year = {2004},
     volume = {46},
     number = {1},
     doi = {10.1017/S0017089503001538},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001538/}
}
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