Critical singular exponent and asymptotic estimates in the parabolic equations

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• 作者：Bingchen Liu ; ^{bcliu@aliyun.com} ; Fengjie Li
• 关键词：Critical exponent ; Quenching ; Blowup ; Singular rate
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：65
• 期：Complete
• 页码：63-69
• 全文大小：710 K
• 卷排序：65

文摘

This paper considers both quenching and blowup phenomena to the coupled parabolic equations with zero Dirichlet boundary. Here, one component of the solution represents the density of some chemical and the other denotes its temperature in some ignition process. All the singular phenomena have been obtained including simultaneous and nonsimultaneous blow-up or quenching, which are classified completely by the exponents. The results extend the ones in the previous paper (Liu and Chan, 2011).