Sibirskii Zhurnal Industrial'noi Matematiki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 1, Pages 95–105 (Mi sjim770)  
This article is cited in 1 scientific paper (total in 1 paper)

Optimal control of cylinder rotation in a viscous fluid

V. N. Starovoitovab

a Lavrentiev Institute of Hydrodynamics of the SDRAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (265 kB) Citations (1)
References:
PDF
HTML
Abstract: The paper deals with the axisymmetric problem of optimal boundary control of a mechanical system consisting of two coaxial cylinders and an incompressible viscous fluid filling the area between them. The control parameter is the angular velocity of the outer cylinder. It is required to stop the inner cylinder at a prescribed time with minimal energy cost. The unique solvability of the problem is proved and the optimality system is derived.
Keywords: viscous fluid, rigid body, optimal control.
Received: 27.12.2012
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 2, Pages 259–268
DOI: https://doi.org/10.1134/S1990478913020166
Bibliographic databases:
Document Type: Article
UDC: 517.977+532.582
Language: Russian
Citation: V. N. Starovoitov, “Optimal control of cylinder rotation in a viscous fluid”, Sib. Zh. Ind. Mat., 16:1 (2013), 95–105; J. Appl. Industr. Math., 7:2 (2013), 259–268
Citation in format AMSBIB
\Bibitem{Sta13}
\by V.~N.~Starovoitov
\paper Optimal control of cylinder rotation in a~viscous fluid
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 1
\pages 95--105
\mathnet{http://mi.mathnet.ru/sjim770}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3203309}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 2
\pages 259--268
\crossref{https://doi.org/10.1134/S1990478913020166}
Linking options:
  • https://www.mathnet.ru/eng/sjim770
  • https://www.mathnet.ru/eng/sjim/v16/i1/p95
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024