Geodesic
The optimal feedback control problem for Voigt model with variable density
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2020), pp. 93-98

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The work is devoted to the study of weak solvability of the optimal feedback control problem for the Voigt model with variable density. The proof is based on the approximation-topological approach. First, the solvability of the approximation problem is proved, and then, based on a priori estimates that are independent of the approximation parameter, it is shown that from the sequence of solutions of the approximation problem, a subsequence converging to the solution of the original problem can be chosen. Then it is shown that among weak solutions to the problem there is at least one that gives a minimum to a given cost functional.
Keywords: optimal control problem, feedback, weak solution, approximation-topological approach, nonhomogeneous fluid, variable-density fluid.
Mots-clés : Voigt model 
@article{IVM_2020_4_a8,
     author = {V. G. Zvyagin and M. V. Turbin},
     title = {The optimal feedback control problem for {Voigt} model with variable density},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {93--98},
     publisher = {mathdoc},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_4_a8/}
}
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V. G. Zvyagin; M. V. Turbin. The optimal feedback control problem for Voigt model with variable density. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2020), pp. 93-98. http://geodesic.mathdoc.fr/item/IVM_2020_4_a8/