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Existence theory to the equations in viscoelasticity at finite deformations

Jäpel, Irg (1998)
Existence theory to the equations in viscoelasticity at finite deformations.
In: Mathematical Methods in the Applied Sciences, 21 (8)
doi: 10.1002/(SICI)1099-1476(19980525)21:8<757::AID-MMA979>3.0.CO;2-K
Article, Bibliographie

Abstract

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.

Item Type: Article
Erschienen: 1998
Creators: Jäpel, Irg
Type of entry: Bibliographie
Title: Existence theory to the equations in viscoelasticity at finite deformations
Language: English
Date: 4 December 1998
Publisher: Wiley & Sons Ltd.
Journal or Publication Title: Mathematical Methods in the Applied Sciences
Volume of the journal: 21
Issue Number: 8
DOI: 10.1002/(SICI)1099-1476(19980525)21:8<757::AID-MMA979>3.0.CO;2-K
Abstract:

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.

Divisions: 04 Department of Mathematics
Date Deposited: 19 Nov 2008 16:05
Last Modified: 03 Aug 2023 09:47
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