Open Access Research

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

Jie Ma*, Chunlai Mu and Rong Zeng

Author affiliations

College of Mathematics and Statistics, Chongqing University, Chongqing 401331, PR China

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Citation and License

Boundary Value Problems 2011, 2011:6  doi:10.1186/1687-2770-2011-6

Published: 12 July 2011

Abstract

In this paper, we consider the following viscoelastic equations

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.

Keywords:
viscoelastic equations; blow up; positive initial energy