Blow-up for discrete reaction-diffusion equations on networks
2015 ◽
Vol 9
(1)
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pp. 103-119
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Keyword(s):
Blow Up
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In this paper, we discuss the conditions under which blow-up occurs for the solutions of reaction-diffusion equations on networks. The analysis of this class of problems includes the existence of blow-up in finite time and the determination of the blow-up time and the corresponding blow-up rate. In addition, when the solution blows up, we give estimates for the blow-up time and also provide the blow-up rate. Finally, we show some numerical illustrations which describe the main results.
2018 ◽
Vol 69
(2)
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2018 ◽
Vol 98
(16)
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pp. 2868-2883
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2003 ◽
Vol 27
(1)
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pp. 31-46
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