Characteristic Properties of the System of Equations of an Incompressible Viscoelastic Maxwell Medium
S. V. Meleshko1, A. G. Petrova2, V. V. Pukhnachev3,4
1Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand
2Altai State University, Barnaul, 656049 Russia
3Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
4Novosibirsk State University, Novosibirsk, 630090 Russia
Keywords: несжимаемая вязкоупругая среда Максвелла, объективная производная, характеристики, линейная модель, incompressible viscoelastic Maxwell medium, objective derivative, characteristics, linear model
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.
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