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This article is cited in 5 scientific papers (total in 5 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
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.
Received: 01.06.2017
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
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https://www.mathnet.ru/eng/pmtf657 https://www.mathnet.ru/eng/pmtf/v58/i5/p44
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