Solvability of an Optimization Problem for the Unsteady Plane Flow of a Non-Newtonian Fluid with Memory
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This paper deals with an optimization problem for a nonlinear integro-differential system that describes the unsteady plane motion of an incompressible viscoelastic fluid of Jeffreys–Oldroyd type within a fixed bounded region subject to the no-slip boundary condition. Control parameters are included in the initial condition. The objective of control is to match the velocity field at the final time with a prescribed target field. The control model under consideration is interpreted as a continuous evolution system in an infinite-dimensional Hilbert space. The existence of at least one optimal control is proved under inclusion-type constraints for admissible controls.
2020 ◽
Vol 119
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pp. 104947
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2015 ◽
Vol 105
(3)
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pp. 1015-1020
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2013 ◽
Vol 232
(1)
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pp. 174-188
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2005 ◽
Vol 15
(03)
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pp. 343-374
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2011 ◽
Vol 369
(1944)
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pp. 2184-2192
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