Rocky Mountain Journal of Mathematics
- Rocky Mountain J. Math.
- Volume 47, Number 7 (2017), 2295-2321.
Blow-up of multi-componential solutions in heat equations with exponential boundary flux
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.
Rocky Mountain J. Math., Volume 47, Number 7 (2017), 2295-2321.
First available in Project Euclid: 24 December 2017
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Li, Fengjie; Zheng, Shimei; Liu, Bingchen. Blow-up of multi-componential solutions in heat equations with exponential boundary flux. Rocky Mountain J. Math. 47 (2017), no. 7, 2295--2321. doi:10.1216/RMJ-2017-47-7-2295. https://projecteuclid.org/euclid.rmjm/1514084429