Topological approximation approach to study of mathematical problems of hydrodynamics
Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 2, Tome 46 (2012), pp. 92-119
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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.
@article{CMFD_2012_46_a4,
author = {V. G. Zvyagin},
title = {Topological approximation approach to study of mathematical problems of hydrodynamics},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {92--119},
publisher = {mathdoc},
volume = {46},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2012_46_a4/}
}
TY - JOUR AU - V. G. Zvyagin TI - Topological approximation approach to study of mathematical problems of hydrodynamics JO - Contemporary Mathematics. Fundamental Directions PY - 2012 SP - 92 EP - 119 VL - 46 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2012_46_a4/ LA - ru ID - CMFD_2012_46_a4 ER -
V. G. Zvyagin. Topological approximation approach to study of mathematical problems of hydrodynamics. Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 2, Tome 46 (2012), pp. 92-119. http://geodesic.mathdoc.fr/item/CMFD_2012_46_a4/