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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2021 Number 5, Pages 43–54 (Mi ivm9675)
On a apriori estimates of weak solutions of one nongomogeneous problem of dynamics of viscoelastic medium with memory

V. G. Zvyagin, V. P. Orlov

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

Abstract: Apriori estimate of weak solutions to a problem of dynamics of viscoelastic continuous medium with memory along trajectories of velocity field and nonhomogenous condition on the boundary is established.

Keywords: viscoelastic continuous medium, apriori estimates, weak solution, regular Lagrangean flow.

UDC: 517.958

Received: 26.01.2021
Revised: 26.01.2021
Accepted: 30.03.2021

DOI: 10.26907/0021-3446-2021-5-43-54


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2021, 65:5, 30–39

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© Steklov Math. Inst. of RAS, 2025