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Blow up for a Cauchy viscoelastic problem with a nonlinear dissipation of cubic convolution type

✍ Scribed by Shengqi Yu; Mingxin Wang; Wenjun Liu

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 102 KB
Volume: 32
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1115

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✦ Synopsis

Abstract

In this paper, we consider a Cauchy viscoelastic problem with a nonlinear source of polynomial type and a nonlinear dissipation of cubic convolution type involving a singular kernel. Under suitable conditions on the initial data and the relaxation functions, it is proved that the solution of this particular problem blows up in finite time. Copyright © 2009 John Wiley & Sons, Ltd.

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