ON WEAK SOLVABILITY OF MATHEMATICAL MODEL DESCRIBING THE MOTION OF POLYMER SOLUTIONS WITH MEMORY

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Abstract

The weak solvability of the initial-boundary value problem describing the motion of weakly concentrated aqueous polymer solutions taking into account the memory of the fluid is considered in the paper. In this model the memory is considered along the trajectory of fluid particles, determined by the velocity field. The topological approximation approach and the theory of regular Lagrangian flows are used.

About the authors

A. V Zvyagin

Voronezh State University

Email: zvyagin.a@mail.ru
Russia

M. I Strukov

Voronezh State University

Email: mixail.strukov12@gmail.com
Russia

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