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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 9, Pages 64–69 (Mi ivm8829)  
This article is cited in 8 scientific papers (total in 8 papers)

Brief communications

Weak solvability of a system of thermoviscoelasticity for Jeffris model

V. G. Zvyagina, V. P. Orlovb

a Chair of Algebra and Topological Methods of Analysis, Voronezh State University, 1 Universitetskaya Sq., Voronezh, 394006 Russia
b Chair of Mathematical Modeling, Voronezh State University, 1 Universitetskaya Sq., Voronezh, 394006 Russia
Full-text PDF (193 kB) Citations (8)
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Abstract: 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.
Received: 05.01.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 9, Pages 53–57
DOI: https://doi.org/10.3103/S1066369X13090089
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: V. G. Zvyagin, V. P. Orlov, “Weak solvability of a system of thermoviscoelasticity for Jeffris model”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 9, 64–69; Russian Math. (Iz. VUZ), 57:9 (2013), 53–57
Citation in format AMSBIB
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\by V.~G.~Zvyagin, V.~P.~Orlov
\paper Weak solvability of a~system of thermoviscoelasticity for Jeffris model
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 9
\pages 64--69
\mathnet{http://mi.mathnet.ru/ivm8829}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 9
\pages 53--57
\crossref{https://doi.org/10.3103/S1066369X13090089}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84894185030}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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