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

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Abstract

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.

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Correspondence to Cheng-yuan Qu.

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Supported by the National Natural Science Foundation of China (10771024, 11101060, 11171048).

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Qu, Cy., Wang, W. & Zheng, Sn. Non-simultaneous quenching for a slow diffusion system coupled at the boundary. Appl. Math. J. Chin. Univ. 27, 139–149 (2012). https://doi.org/10.1007/s11766-012-2819-6

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  • DOI: https://doi.org/10.1007/s11766-012-2819-6

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