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.

Sobre autores

S. Meleshko

School of Mathematics

Autor responsável pela correspondência
Email: sergey@math.sut.ac.th
Tailândia, Nakhon Ratchasima, 30000

A. Petrova

Altai State University

Email: sergey@math.sut.ac.th
Rússia, Barnaul, 656049

V. Pukhnachev

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

Email: sergey@math.sut.ac.th
Rússia, Novosibirsk, 630090; Novosibirsk, 630090

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