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摘要
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 Omega and the absorption coefficients is given for the balanced interaction situation among the multinonlinearities. 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 nonsimultaneous. Finally, the model of the paper is characterized by a comparison with the known results for other models.
