Boundary Value Problems 
Volume 2005 (2005), Issue 3, Pages 215-245
doi:10.1155/BVP.2005.215

On weak solutions of the equations of motion of a viscoelastic medium with variable boundary

V. G. Zvyagin1 and V. P. Orlov2

 1Department of Algebra and Topological Methods of Analysis, Faculty of Mathematics, Voronezh State University, Universitetskaya pl. 1, Voronezh 394006, Russia
2Department of Mathematical simulation, Faculty of Mathematics, Voronezh State University, Universitetskaya pl. 1, Voronezh 394006, Russia
Received 2 September 2005

Abstract

The regularized system of equations for one model of a viscoelastic medium with memory along trajectories of the field of velocities is under consideration. The case of a changing domain is studied. We investigate the weak solvability of an initial boundary value problem for this system.