THE PROBLEM OF THE FLOW OF ONE TYPE OF NON-NEWTONIAN FLUID THROUGH THE BOUNDARY OF A MULTI-CONNECTED DOMAIN

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Resumo

In this paper, the existence of a weak solution of the initial boundary value problem for the equations of motion of a viscoelastic non-newtonian fluid in a multi-connected domain with memory along the trajectories of a non-smooth velocity field and an inhomogeneous boundary condition. The study assumes the approximation of the original problem by Galerkin-type approximations followed by a passage to the limit based on a priori estimates. The theory of regular Lagrangian flows is used to study the behavior of trajectories of a non-smooth velocity field.

Sobre autores

V. Zvyagin

Voronezh State University

Autor responsável pela correspondência
Email: vsu@mail.ru
Russian Federation, Voronezh

V. Orlov

Voronezh State University

Autor responsável pela correspondência
Email: vp@mail.ru
Russian Federation, Voronezh

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