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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 5, Pages 823–829
DOI: https://doi.org/10.7868/S0044466915050130 (Mi zvmmf10205) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Phase space of the initial-boundary value problem for the Oskolkov system of nonzero order

A. O. Kondyukov, T. G. Sukacheva

Novgorod State University, ul. Bol’shaya Sankt-Peterburgskaya 41, Novgorod the Great, 173003, Russia
Full-text PDF (219 kB) Citations (13)
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DOI: https://doi.org/10.7868/S0044466915050130
Abstract: The phase space of the Dirichlet initial-boundary value problem for a system of partial differential equations modeling the flow of an incompressible viscoelastic Kelvin–Voigt fluid of nonzero order is described. The investigation is based on the theory of semilinear Sobolev-type equations and the concepts of a relatively spectral bounded operator and a quasi-stationary trajectory for the corresponding Oskolkov system modeling the plane-parallel flow of the above fluid.
Key words: Sobolev-type equations, phase space, quasi-stationary trajectories, Oskolkov system, incompressible viscoelastic Kelvin–Voigt fluid.
Received: 19.09.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 5, Pages 823–828
DOI: https://doi.org/10.1134/S0965542515050127
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: Primary 35Q35; Secondary 76A10
Language: Russian
Citation: A. O. Kondyukov, T. G. Sukacheva, “Phase space of the initial-boundary value problem for the Oskolkov system of nonzero order”, Zh. Vychisl. Mat. Mat. Fiz., 55:5 (2015), 823–829; Comput. Math. Math. Phys., 55:5 (2015), 823–828
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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