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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 5, Pages 68–74 (Mi ivm8897)  
This article is cited in 5 scientific papers (total in 5 papers)

Brief communications

On one problem of dynamics of thermoviscoelastic medium of Oldroid type

V. P. Orlov, M. I. Parshin

Chair of Mathematical Modeling, Voronezh State University, 1 Universitetskaya Sq., Voronezh, 394006 Russia
Full-text PDF (196 kB) Citations (5)
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Abstract: We establish nonlocal existence theorem for the weak solution for an initial-boundary value problem for the dynamic model of thermoviscoelasticity of Oldroid type in the planar case.
Keywords: thermoviscoelastic medium, motion equations, initial-boundary value problem, weak solution, fixed point.
Presented by the member of Editorial Board: V. G. Zvyagin
Received: 01.12.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 5, Pages 57–62
DOI: https://doi.org/10.3103/S1066369X14050089
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: V. P. Orlov, M. I. Parshin, “On one problem of dynamics of thermoviscoelastic medium of Oldroid type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 5, 68–74; Russian Math. (Iz. VUZ), 58:5 (2014), 57–62
Citation in format AMSBIB
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\by V.~P.~Orlov, M.~I.~Parshin
\paper On one problem of dynamics of thermoviscoelastic medium of Oldroid type
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 5
\pages 68--74
\mathnet{http://mi.mathnet.ru/ivm8897}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 5
\pages 57--62
\crossref{https://doi.org/10.3103/S1066369X14050089}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899788940}
Linking options:
  • https://www.mathnet.ru/eng/ivm8897
  • https://www.mathnet.ru/eng/ivm/y2014/i5/p68
    • This publication is cited in the following 5 articles:
    1. V. G. Zvyagin, V. P. Orlov, “Strong solutions of one model of dynamics of thermoviscoelasticity of a continuous medium with memory”, Russian Math. (Iz. VUZ), 65:6 (2021), 84–89  mathnet  crossref  crossref
    2. V. G. Zvyagin, V. P. Orlov, “On a model of thermoviscoelasticity of Jeffreys–Oldroyd type”, Comput. Math. Math. Phys., 56:10 (2016), 1803–1812  mathnet  crossref  crossref  isi  elib
    3. A. V. Zvyagin, V. P. Orlov, “Solvability of the Thermoviscoelasticity Problem for Linearly Elastically Retarded Voigt Fluid”, Math. Notes, 97:5 (2015), 694–708  mathnet  crossref  crossref  mathscinet  isi  elib
    4. A. V. Zvyagin, V. P. Orlov, “Solvability of thermoviscoelastic problem for one Oskolkov's model”, Russian Math. (Iz. VUZ), 58:9 (2014), 57–61  mathnet  crossref
    5. V. P. Orlov, M. I. Parshin, “O silnykh resheniyakh odnoi modeli termovyazkouprugosti tipa Oldroida”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 7:3 (2014), 69–76  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:58
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