Article ID Journal Published Year Pages File Type
843170 Nonlinear Analysis: Theory, Methods & Applications 2008 8 Pages PDF
Abstract

We consider the blow-up of solutions of equations of the form ut=div(ρ(|∇u|2) grad u)+f(u)ut=div(ρ(|∇u|2) grad u)+f(u) by means of a differential inequality technique. A lower bound for blow-up time is determined if blow-up does occur as well as a criterion for blow-up and conditions which ensure that blow-up cannot occur.

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Physical Sciences and Engineering Engineering Engineering (General)
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