Abstract and Applied Analysis
Volume 2004 (2004), Issue 10, Pages 815-829
doi:10.1155/S1085337504401018
On the existence of weak solutions for the initial-boundary value problem in the Jeffreys model of motion of a viscoelastic medium
D.A. Vorotnikov
and V.G. Zvyagin
Department of Mathematics, Voronezh State University, Universitetskaya Pl. 1, Voronezh 394006, Russia
Abstract
This paper deals with the initial-boundary value problem for the system of motion equations of an incompressible viscoelastic medium with Jeffreys constitutive law in an arbitrary domain of two-dimensional or three-dimensional space. The existence of weak solutions of this problem is obtained.