Abstract and Applied Analysis
Volume 7 (2002), Issue 9, Pages 475-495
doi:10.1155/S1085337502203097

On dynamics of viscoelastic multidimensional medium with variable boundary

V. P. Orlov

Department of Mathematics, Voronezh State University, Universitetskaya pl., 1, Voronezh 394693, Russia

Abstract

We prove the existence and uniqueness theorems for solutions of an initial-boundary value problem to the system of equations, which describes dynamics of viscoelastic continuous medium with a variable boundary and a memory along the trajectories of particles in classes of summable functions.