Espacios. Vol. 39. 2018.
On Solvability of a Fluid Flow Alpha-Model With Memory
We study weak solvability of an alpha-model in non-Newtonian hydrodynamics. If the parameter alpha equals zero, then the alpha-model coincides with the classical one describing a fluid flow with memory. This model takes into account fluid’s memory along trajectories of movement. Additionally, we show that solutions of the alpha-model tend to solutions to the classical model as the parameter alpha tends to zero. © 2018, Allerton Press, Inc.
Authors
Zvyagin A.V. 1, 2 , Zvyagin V.G. 2 , Polyakov D.M. 3, 4
Journal
Publisher
Allerton Press Incorporation
Issue number
6
Language
English
Pages
69-74
State
Published
Link
Volume
62
Year
2018
Organizations
- 1 Peoples Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
- 2 Voronezh State University, Universitetskaya pl. 1, Voronezh, 394018, Russian Federation
- 3 Southern Mathematical Institute, Vladikavkaz Scientific Center of Russian Academy of Sciences, ul. Markusa 22, Vladikavkaz, 362027, Russian Federation
- 4 Voronezh State University, 1 Universitetskaya sq., Voronezh, 394018, Russian Federation
Keywords
alpha-model; existence theorem; fluid with memory; non-Newtonian hydrodynamics; regular Lagrangian flow
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