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On Solvability of a Fluid Flow Alpha-Model With Memory

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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Russian Mathematics Springer Journals

On Solvability of a Fluid Flow Alpha-Model With Memory

Zvyagin, A.; Zvyagin, V.; Polyakov, D.
Russian Mathematics , Volume 62 (6) – May 30, 2018
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Publisher
Springer Journals
Copyright
Copyright © 2018 by Allerton Press, Inc.
Subject
Mathematics; Mathematics, general
ISSN
1066-369X
eISSN
1934-810X
DOI
10.3103/S1066369X18060075
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Russian Mathematics – Springer Journals

Published: May 30, 2018

References

  • Global Generalized Solutions for Maxwell-Alpha and Euler-Alpha Equations
    Vorotnikov, D. A.
  • On the Solvability of the Jeffreys–Oldroyd-Alpha Model
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  • On Weak Solutions to the Initial Boundary Value Problem for the Motion Equation of a Viscoelastic Fluid
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  • On Weak Solutions of a Regularized Model of a Viscoelastic Fluid
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  • Estimates and Regularity Results for the diPerna–Lions Flow
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  • Ordinary Differential Equations, Transport Theory and Sobolev Spaces
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  • On the weak solvability of the problem of viscoelasticity with memory
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  • Optimal Control of Distributed Systems. Theory and Applications
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  • Navier–Stokes Equations. Theory and Numerical Analysis
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  • Topological Approximation Approach to Study Mathematical Problems of Hydrodynamics
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