Blow-up properties for heat equations coupled via different nonlinearities |
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Authors: | Bingchen Liu Fengjie Li |
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Institution: | College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, Shandong Province, PR China |
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Abstract: | This paper deals with heat equations coupled via exponential and power nonlinearities, subject to null Dirichlet boundary conditions. The complete and optimal classification on non-simultaneous and simultaneous blow-ups is proposed by four sufficient and necessary conditions. We find out that, in some exponent region, the blow-up properties of the solutions depend much on the choosing of initial data. Moreover, all kinds of non-simultaneous and simultaneous blow-up rates are obtained. |
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Keywords: | Non-simultaneous blow-up Simultaneous blow-up Blow-up rate |
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