On a model of thermoviscoelasticity of Jeffreys–Oldroyd type


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Abstract

In the plane case, the initial–boundary value problem for a thermoelastic medium model with a rheological relation determined by the Jeffreys–Oldroyd model is shown to be nonlocally weakly solvable. The study is based on separating the system, reducing it to an operator equation, and performing an iterative process.

About the authors

V. G. Zvyagin

Voronezh State University

Author for correspondence.
Email: zvg_vsu@mail.ru
Russian Federation, Voronezh, 394006

V. P. Orlov

Voronezh State University

Email: zvg_vsu@mail.ru
Russian Federation, Voronezh, 394006

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