Abstract
We give a description of an abstract scheme of the topological approximation method and mention those fields where its application to concrete models of hydrodynamics yields results. As an illustration, we expose in detail the problem of optimal control of right-hand sides in the initialboundary value problem describing the motion of a viscoelastic incompressible fluid in the Jeffreys model with the Jaumann objective derivative.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 46, Proceedings of the Sixth International Conference on Differential and Functional Differential Equations and International Workshop “Spatio-Temporal Dynamical Systems” (Moscow, Russia, 14–21 August, 2011). Part 2, 2012.
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Zvyagin, V.G. Topological Approximation Approach to Study of Mathematical Problems of Hydrodynamics. J Math Sci 201, 830–858 (2014). https://doi.org/10.1007/s10958-014-2028-3
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DOI: https://doi.org/10.1007/s10958-014-2028-3