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Zvyagin, A. V.

An optimal control problem with feedback for a mathematical model of the motion of weakly concentrated water polymer solutions with objective derivative. (English. Russian original) Zbl 1275.49009

Sib. Math. J. 54, No. 4, 640-655 (2013); translation from Sib. Mat. Zh. 54, No. 4, 807-825 (2013).
Summary: We study a problem with feedback for a mathematical model of the motion of weakly concentrated water polymer solutions with smoothed Jaumann objective derivative. We prove the existence of an optimal solution yielding the minimum of a specified bounded lower semicontinuous quality functional. To establish the existence of an optimal solution, we use the topological approximation method for studying problems of hydrodynamics.

Cited in 11 Documents

MSC:

49J20 Existence theories for optimal control problems involving partial differential equations
76A05 Non-Newtonian fluids

Keywords:

optimal control; topological approximation method; a-priori estimate; topological degree; multivalued mappings; weakly concentrated water polymer solution
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References:

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