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On the solvability of the initial-value problem for the motion equations of nonlinear viscoelastic medium in the whole space

✍ Scribed by D.A Vorotnikov; V.G Zvyagin

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 364 KB
Volume: 58
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2004.05.012

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✦ Synopsis

The paper deals with the initial-value problem for the system of motion equations of a wide class of incompressible nonlinear viscoelastic mediums, i.e. mediums possessing both nonlinear viscous and viscoelastic properties, in the whole space R 2 or R 3 . The existence and uniqueness of global in time solutions of this problem for small data are obtained.

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