Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839809 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 7 Pages |
Abstract
In this paper, we consider the nonlinear viscoelastic equation: utt−△u+∫0tg(t−τ)△u(τ)dτ−△ut=∣u∣p−2u,inΩ×[0,T], with initial conditions and Dirichlet boundary conditions. For nonincreasing positive functions gg, we show the finite time blow up of some solutions whose initial data have arbitrarily high initial energy.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Haitao Song, Desheng Xue,