Open Access

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

Boundary Value Problems20052005:174137

DOI: 10.1155/BVP.2005.215

Received: 2 September 2005

Published: 13 November 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.

Authors’ Affiliations

(1)
Department of Algebra and Topological Methods of Analysis, Faculty of Mathematics, Voronezh State University
(2)
Department of Mathematical simulation, Faculty of Mathematics, Voronezh State University

Copyright

© Zvyagin and Orlov 2005