Equivalence of weak solvability of initial-boundary value problems for the Jeffreys--Oldroyd and one integro-differential system with memory
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2020), pp. 79-85

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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.
@article{IVM_2020_6_a9,
     author = {V. G. Zvyagin and V. P. Orlov and A. S. Arsentyev},
     title = {Equivalence of weak solvability of initial-boundary value problems for the {Jeffreys--Oldroyd} and one integro-differential system with memory},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {79--85},
     publisher = {mathdoc},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_6_a9/}
}
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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. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2020), pp. 79-85. http://geodesic.mathdoc.fr/item/IVM_2020_6_a9/