This article is cited in 6 papers

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

S. V. Meleshko^a, A. G. Petrova^b, V. V. Pukhnachev<sup>cd

a</sup> 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.

UDC: 532.135 + 532.137

Received: 01.06.2017

DOI: 10.15372/PMTF20170504

 English version: Journal of Applied Mechanics and Technical Physics, 2017, 58:5, 794–800

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