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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 1, Pages 18–27 (Mi sjim815)  
This article is cited in 20 scientific papers (total in 20 papers)

An optimal control problem for a stationary flow of a Jeffreys medium with slip boundary condition

E. S. Baranovskii

Voronezh State University of Engineering Technologies, 19 Revolutsii av., 394036 Voronezh
Full-text PDF (249 kB) Citations (20)
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Abstract: 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.
Received: 28.08.2013
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 2, Pages 168–176
DOI: https://doi.org/10.1134/S1990478914020033
Bibliographic databases:
Document Type: Article
UDC: 517.958+531.32
Language: Russian
Citation: E. S. Baranovskii, “An optimal control problem for a stationary flow of a Jeffreys medium with slip boundary condition”, Sib. Zh. Ind. Mat., 17:1 (2014), 18–27; J. Appl. Industr. Math., 8:2 (2014), 168–176
Citation in format AMSBIB
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\jour J. Appl. Industr. Math.
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\pages 168--176
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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    References:116
    First page:81
     
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