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


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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 state at rest, and its unique solvability is established.

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S. Meleshko

School of Mathematics

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Email: sergey@math.sut.ac.th
泰国, Nakhon Ratchasima, 30000

A. Petrova

Altai State University

Email: sergey@math.sut.ac.th
俄罗斯联邦, Barnaul, 656049

V. Pukhnachev

Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University

Email: sergey@math.sut.ac.th
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090

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