This article is cited in 6 papers

On a problem in the dynamics of a thermoviscoelastic medium with memory

V. P. Orlov, M. I. Parshin

Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, Russia

Abstract: A nonlocal existence theorem for the weak solution for an initial-boundary value problem for the dynamic model of thermoviscoelasticity with memory along trajectories of motion in the planar case is established.

Key words: thermoviscoelastic medium, equations of motion, initial-boundary value problem, weak solution.

UDC: 519.634

MSC: Primary 35Q74; Secondary 35A01, 35D30, 74D10, 74F05

Received: 17.04.2014

DOI: 10.7868/S0044466915010172

 English version: Computational Mathematics and Mathematical Physics, 2015, 55:4, 650–665

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