A blow up result for viscoelastic equations with arbitrary positive initial energy

A blow up result for viscoelastic equations with arbitrary positive initial energy

<p>Abstract</p> <p>In this paper, we consider the following viscoelastic equations</p> <p><display-formula><graphic file="1687-2770-2011-6-i1.gif"/></display-formula></p> <p>with initial condition and zero Dirichlet boundary condi...

Full description

Bibliographic Details
Main Authors:	Ma Jie, Mu Chunlai, Zeng Rong
Format:	Article
Language:	English
Published:	SpringerOpen 2011-01-01
Series:	Boundary Value Problems
Subjects:	viscoelastic equations blow up positive initial energy
Online Access:	http://www.boundaryvalueproblems.com/content/2011/1/6

Description
Summary:	<p>Abstract</p> <p>In this paper, we consider the following viscoelastic equations</p> <p><display-formula><graphic file="1687-2770-2011-6-i1.gif"/></display-formula></p> <p>with initial condition and zero Dirichlet boundary condition. Using the concavity method, we obtained sufficient conditions on the initial data with arbitrarily high energy such that the solution blows up in finite time.</p>
ISSN:	1687-2762 1687-2770