V. G. Zvyagin, V. P. Orlov, A. S. Arsentyev, “Equivalence of weak solvability of initial-boundary value problems for the Jeffreys–Oldroyd and one integro-differential system with memory”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, Number 6,Pages <nobr>79

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Brief communications

Equivalence of weak solvability of initial-boundary value problems for the Jeffreys–Oldroyd and one integro-differential system with memory

V. G. Zvyagin, V. P. Orlov, A. S. Arsentyev

Voronezh State University, 1 Universitetskaya pl., Voronezh, 394018 Russia

Abstract: The equivalence of weak solvability of initial boundary value problems for Jeffries–Oldroyd model and one integro-differential system with memory is established. The proofs sub-stantially use the properties of regular lagrangean flows.

Keywords: viscoelastic medium, the motion equation, initial-boundary-value problem, weak solution.

UDC: 517.958

Received: 24.03.2020
Revised: 24.03.2020
Accepted: 25.03.2020

DOI: 10.26907/0021-3446-2020-6-79-85