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Existence theory to the equations in viscoelasticity at finite deformations

✍ Scribed by Irg Jäpel

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 183 KB
Volume: 21
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19980525)21:8<757::aid-mma979>3.0.co;2-k

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✦ Synopsis

In this paper we prove under the assumption of small initial data the global existence of a classical solution to the equations in viscoelasticity, associated with a free damping boundary condition. We also show that if we choose the initial data large enough, blow up will occur in finite time.

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