Blow-up properties of solutions for a multi-coupled parabolic system |
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Authors: | Fengjie Li Sining Zheng Bingchen Liu |
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Institution: | 1. School of Mathematics and Computational Sciences, China University of Petroleum, Dongying 257061, Shandong Province, PR China;2. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, Liaoning Province, PR China |
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Abstract: | This paper deals with the blow-up behavior of radial solutions to a parabolic system multi-coupled via inner sources and boundary flux. We first obtain a necessary and sufficient condition for the existence of non-simultaneous blow-up, and then find five regions of exponent parameters where both non-simultaneous and simultaneous blow-up may happen. In particular, nine simultaneous blow-up rates are established for different regions of parameters. It is interesting to observe that different initial data may lead to different simultaneous blow-up rates even with the same exponent parameters. |
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Keywords: | Primary 35K60 35B40 35B33 |
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