Geodesic
Optimal control in a~model of the motion of a~viscoelastic medium with objective derivative
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2009), pp. 55-61

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In this paper we consider the Jeffreys model of the motion of a viscoelastic incompressible medium with the Yaumann derivative. Within this model we study the optimal control problem for the right-hand sides of the initial boundary value problem. We prove the existence of the optimal strong solution.
Keywords: optimal control, viscoelastic incompressible medium, Jeffreys model, Yaumann derivative, topological degree. 
@article{IVM_2009_5_a5,
     author = {V. G. Zvyagin and A. V. Kuznetsov},
     title = {Optimal control in a~model of the motion of a~viscoelastic medium with objective derivative},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {55--61},
     publisher = {mathdoc},
     number = {5},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_5_a5/}
}
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V. G. Zvyagin; A. V. Kuznetsov. Optimal control in a~model of the motion of a~viscoelastic medium with objective derivative. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2009), pp. 55-61. http://geodesic.mathdoc.fr/item/IVM_2009_5_a5/