Non-simultaneous blow-up in coupled heat equations with multi-nonlinearities |
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Authors: | Sining Zheng Jing Ma |
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Affiliation: | aDepartment of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China;bDepartment of Applied Mathematics and Physics, Anhui University of Technology and Science, Wuhu 241000, PR China |
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Abstract: | This paper studies coupled heat equations with multi-nonlinearities of six nonlinear parameters. The critical blow-up exponent is established via a complete classification for all the six nonlinear parameters, where a precise analysis on the geometry of Ω and the absorption coefficients is given for the balanced interaction situation among the multi-nonlinearities. The main attention is contributed to non-simultaneous phenomena in the model to determine the necessary and sufficient conditions of non-simultaneous blow-up with suitable initial data, as well as the conditions under which any blow-up must be non-simultaneous. Finally, the model of the paper is characterized by a comparison with the known results for other models. |
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Keywords: | Critical exponents Heat equations Absorption Nonlinear boundary source Non-simultaneous blow-up |
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