Non-simultaneous quenching for a slow diffusion system coupled at the boundary

This paper deals with the quenching behavior of positive solutions to the Newton filtration equations coupled with boundary singularities. We determine quenching rates for nonsimultaneous quenching at first, and then establish the criteria to identify the simultaneous and non-simultaneous quenching...

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Bibliographic Details
Published in:Applied Mathematics-A Journal of Chinese Universities 2012-06, Vol.27 (2), p.139-149
Main Authors: Qu, Cheng-yuan, Wang, Wei, Zheng, Si-ning
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Summary:This paper deals with the quenching behavior of positive solutions to the Newton filtration equations coupled with boundary singularities. We determine quenching rates for nonsimultaneous quenching at first, and then establish the criteria to identify the simultaneous and non-simultaneous quenching in terms of the parameters involved.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-012-2819-6