Geodesic
An optimal control problem for a~stationary flow of a~Jeffreys medium with slip boundary condition
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 1, pp. 18-27

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We study an optimal control problem for the stationary motion equations of a Jeffreys viscoelastic medium with a Navier slip boundary condition. The control parameter is provided by an external force. We prove the existence of a weak solution minimizing a given cost functional and establish some properties of the solution set to the optimization problem.
Keywords: optimal control, flow control, non-Newtonian fluid, viscoelastic medium, Jeffreys model, Navier–Stokes equations, Navier slip boundary condition, weak solution, Galerkin method. 
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     author = {E. S. Baranovskii},
     title = {An optimal control problem for a~stationary flow of {a~Jeffreys} medium with slip boundary condition},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {18--27},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_1_a2/}
}
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E. S. Baranovskii. An optimal control problem for a~stationary flow of a~Jeffreys medium with slip boundary condition. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 1, pp. 18-27. http://geodesic.mathdoc.fr/item/SJIM_2014_17_1_a2/