About the solvability of initial-boundary value problems for a viscoelastic model with memory

摘要

The solvability of two initial-boundary value problems for equations a viscoelastic media with memory motion are considered in this paper. In the autonomous case and under additional conditions on some parameters of the problem the existence attractors for one of this problem is given. Corresponding model of a viscoelastic media with memory motion is a consequence of the Jeffreys-Oldroyd model.