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ONE DIMENSIONAL COMBUSTION FREE BOUNDARY PROBLEM

Published online by Cambridge University Press:  15 January 2004

FAHUAI YI
FAHUAI YI
Affiliation:
Department of Mathematics, South China Normal University, Guangzhou 510631, P.R.China e-mail: fhyi@scnu.edu.cn
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Abstract

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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.

Keywords

35R35
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 1 , January 2004 , pp. 63 - 75
Copyright
2004 Glasgow Mathematical Journal Trust

Footnotes

The project supported by the National Natural Science Foundation of China (No. 10371045) and Guangdong Provincial Natural Science Foundation of China (No. 000671).