Wen Zhang

Xiamen University

CombustionFree boundary problemNonlinear systemIgnition systemLewis number

2Publications

1H-index

2Citations

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Publications 3

Newest

#1Davide Addona (University of Milan)H-Index: 2

#2Claude-Michel Brauner (University of Bordeaux)H-Index: 9

Last. Wen Zhang (CUTe: China University of Technology)H-Index: 1

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Abstract We study in a strip of R 2 a combustion model of flame propagation with stepwise temperature kinetics and zero-order reaction, characterized by two free interfaces, respectively the ignition and the trailing fronts. The latter interface presents an additional difficulty because the non-degeneracy condition is not met. We turn the system to a fully nonlinear problem which is thoroughly investigated. When the width l of the strip is sufficiently large, we prove the existence of a critical...

#1Davide AddonaH-Index: 2

#2Claude-Michel BraunerH-Index: 9

Last. Wen ZhangH-Index: 1

view all 4 authors...

We study in a strip of \mathbb R^2a combustion model of flame propagation with stepwise temperature kinetics and zero-order reaction, characterized by two free interfaces, respectively the ignition and the trailing fronts. The latter interface presents an additional difficulty because the non-degeneracy condition is not met. We turn the system to a fully nonlinear problem which is thoroughly investigated. When the width \ellof the strip is sufficiently large, we prove the existence of a cr...

#1Claude-Michel Brauner (University of Bordeaux)H-Index: 9

#2Peter V. Gordon (University of Akron)H-Index: 8

Last. Wen Zhang (Ha Tai: Xiamen University)H-Index: 1

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In this paper we consider an ignition-temperature zero-order reaction model of thermo-diffusive combustion. This model describes the dynamics of thick flames, which have recently received considerable attention in the physical and engineering literature. The model admits a unique (up to translations) planar travelling wave solution. This travelling wave solution is quite different from those usually studied in combustion theory. The main qualitative feature of this travelling wave is that it has...

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