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Dissipative Solvability of an Alpha Model of Fluid Flow with Memory


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Abstract

The solvability, in some sense, of the initial–boundary value problem for an alpha model of a fluid with memory is analyzed. Namely, the existence of a dissipative solution is proved by applying the topological approximation approach.

About the authors

A. V. Zvyagin

Voronezh State University

Author for correspondence.
Email: zvyagin.a@mail.ru
Russian Federation, Voronezh, 394018

V. G. Zvyagin

Voronezh State University

Author for correspondence.
Email: zvg_vsu@mail.ru
Russian Federation, Voronezh, 394018

D. M. Polyakov

Southern Mathematical Institute, Vladikavkaz Scientific Center of the Russian Academy of Sciences

Author for correspondence.
Email: DmitryPolyakow@mail.ru
Russian Federation, Vladikavkaz, 362027

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