Abstract
This paper deals with heat equations coupled via exponential boundary flux, where the solution is made up of $n$ components. Under certain monotone assumptions, necessary and sufficient conditions are obtained for simultaneous blow-up of at least two components for each initial datum. As for two components blowing up simultaneously, it is interesting that the representations of blow-up rates are quite different with respect to the different blow-up mechanisms and positions between the two components.
Citation
Fengjie Li. Shimei Zheng. Bingchen Liu. "Blow-up of multi-componential solutions in heat equations with exponential boundary flux." Rocky Mountain J. Math. 47 (7) 2295 - 2321, 2017. https://doi.org/10.1216/RMJ-2017-47-7-2295
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