Article ID Journal Published Year Pages File Type
1707583 Applied Mathematics Letters 2016 6 Pages PDF
Abstract
This paper considers the blow-up of solutions for equations ut−ν△ut=div(ρ(∣∇u∣2)∇u)+f(u) by means of a differential inequality technique. A lower bound for blow-up time is determined if blow-up does occur. Also, we establish a blow-up criterion and an upper bound for blow-up under some conditions. Moreover, conditions which ensure that blow-up cannot occur are presented. This result extends the results obtained by R. Xu (2007) and P. Luo (2015).
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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