Blow-up of Solutions to Reaction-diffusion System with Nonstandard Growth Conditions
DOI:
https://doi.org/10.5890/JAND.2017.09.008Abstract
This paper is concerned with the existence and blow-up of solutions of reaction diffusion system with p(x)− growth conditions. The existence of weak solution is proved by using the Galerkin method. The blow-up of solutions is established by applying the method of comparison with suitable blow-up of self-similar subsolutions. Finally the theoretical results are illustrated by numerical examples.References
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