Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843170 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 8 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
L.E. Payne, G.A. Philippin, P.W. Schaefer,