Geodesic
Weak solvability of a~system of thermoviscoelasticity for Jeffris model
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2013), pp. 64-69

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We establish weak solvability to the initial-boundary value problem for the dynamic model of thermoviscoelasticity. The problem under consideration is the Jeffris model extended by the consequence from energy equation. The investigation of the corresponding initial-boundary value problem is carried out by decoupling of the problem and reduction to an operator equation in a suitable Banach space.
Keywords: Jeffris model of viscoelasticity, temperature expansion, apriori estimates, fixed point. 
@article{IVM_2013_9_a7,
     author = {V. G. Zvyagin and V. P. Orlov},
     title = {Weak solvability of a~system of thermoviscoelasticity for {Jeffris} model},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {64--69},
     publisher = {mathdoc},
     number = {9},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_9_a7/}
}
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V. G. Zvyagin; V. P. Orlov. Weak solvability of a~system of thermoviscoelasticity for Jeffris model. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2013), pp. 64-69. http://geodesic.mathdoc.fr/item/IVM_2013_9_a7/