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, 2010, Volume 13, Number 2, Pages 5–18 (Mi sjim605)  
This article is cited in 15 scientific papers (total in 15 papers)

The stability of solutions to extremal problems of boundary control for stationary heat convection equations

G. V. Alekseeva, A. M. Khludnevb

a Applied Mathematics Institute, FEB RAS, Vladivostok
b Lavrent'ev Institute of Hydrodynamics, SB RAS, Novosibirsk
Full-text PDF (285 kB) Citations (15)
References:
PDF
HTML
Abstract: We study the extremal problems of boundary control for the stationary heat convection equations with Dirichlet boundary conditions on the velocity and temperature. As cost functionals we choose the mean square deviation of the required temperature field from the temperature field measured in some part of the flow region. The controls are functions involved in the Dirichlet conditions. We prove the stability of solutions under certain perturbations of both the quality functional and one of the known functions involved in the original equations of the model.
Keywords: heat convection, extremal problems, uniqueness, stability estimates.
Received: 25.05.2009
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 1, Pages 1–13
DOI: https://doi.org/10.1134/S1990478911010017
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: G. V. Alekseev, A. M. Khludnev, “The stability of solutions to extremal problems of boundary control for stationary heat convection equations”, Sib. Zh. Ind. Mat., 13:2 (2010), 5–18; J. Appl. Industr. Math., 5:1 (2011), 1–13
Citation in format AMSBIB
\Bibitem{AleKhl10}
\by G.~V.~Alekseev, A.~M.~Khludnev
\paper The stability of solutions to extremal problems of boundary control for stationary heat convection equations
\jour Sib. Zh. Ind. Mat.
\yr 2010
\vol 13
\issue 2
\pages 5--18
\mathnet{http://mi.mathnet.ru/sjim605}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2839595}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 1
\pages 1--13
\crossref{https://doi.org/10.1134/S1990478911010017}
Linking options:
  • https://www.mathnet.ru/eng/sjim605
  • https://www.mathnet.ru/eng/sjim/v13/i2/p5
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
    Statistics & downloads:
    Abstract page:560
    Full-text PDF :173
    References:92
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024