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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2017, Volume 58, Issue 5, Pages 44–50
DOI: https://doi.org/10.15372/PMTF20170504 (Mi pmtf657) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Characteristic properties of the system of equations of an incompressible viscoelastic Maxwell medium

S. V. Meleshkoa, A. G. Petrovab, V. V. Pukhnachevcd

a Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand
b Altai State University, Barnaul, 656049, Russia
c Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
d Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (229 kB) Citations (6)
DOI: https://doi.org/10.15372/PMTF20170504
Abstract: Characteristics of a system of equations that describe three-dimensional motion of an incompressible viscoelastic Maxwell medium with the upper and lower convective derivatives and the rotational Jaumann derivative being used in the rheological relation are calculated. An initial-boundary-value problem is formulated for the system linearized in the vicinity of the quiescent state, and its unique solvability is established.
Keywords: incompressible viscoelastic Maxwell medium, objective derivative, characteristics, linear model.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00127
Ministry of Education and Science of the Russian Federation НШ-8146.2016.1
Received: 01.06.2017
English version:
Journal of Applied Mechanics and Technical Physics, 2017, Volume 58, Issue 5, Pages 794–800
DOI: https://doi.org/10.1134/S0021894417050042
Bibliographic databases:
Document Type: Article
UDC: 532.135 + 532.137
Language: Russian
Citation: S. V. Meleshko, A. G. Petrova, V. V. Pukhnachev, “Characteristic properties of the system of equations of an incompressible viscoelastic Maxwell medium”, Prikl. Mekh. Tekh. Fiz., 58:5 (2017), 44–50; J. Appl. Mech. Tech. Phys., 58:5 (2017), 794–800
Citation in format AMSBIB
\Bibitem{MelPetPuk17}
\by S.~V.~Meleshko, A.~G.~Petrova, V.~V.~Pukhnachev
\paper Characteristic properties of the system of equations of an incompressible viscoelastic Maxwell medium
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 5
\pages 44--50
\mathnet{http://mi.mathnet.ru/pmtf657}
\crossref{https://doi.org/10.15372/PMTF20170504}
\elib{https://elibrary.ru/item.asp?id=30295631}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 5
\pages 794--800
\crossref{https://doi.org/10.1134/S0021894417050042}
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  • https://www.mathnet.ru/eng/pmtf/v58/i5/p44
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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