Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2022, Volume 86, Issue 2, Pages 221–242
DOI: https://doi.org/10.1070/IM9099 (Mi im9099) 		 
This article is cited in 10 scientific papers (total in 10 papers)

The optimal start control problem for two-dimensional Boussinesq equations

E. S. Baranovskii

Voronezh State University
English version PDF (564 kB) Citations (10)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM9099
Abstract: We consider the problem of the optimal start control for two-dimensional Boussinesq equations describing non-isothermal flows of a viscous fluid in a bounded domain. Using the study of the properties of admissible tuples and of the evolution operator, we prove the solubility of the optimization problem under natural assumptions about the model data. We derive a variational inequality which is satisfied by the optimal control provided that the objective functional is determined by the final observation. We also obtain sufficient conditions for the uniqueness of an optimal control.
Keywords: Boussinesq equations, optimal control, start control, evolution operator, variational inequalities.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-00182-мол_а
This research was supported by the Russian Foundation for Basic Research (grant no. 16-31-00182-mol_a).
Received: 31.08.2020
Revised: 23.02.2021
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2022, Volume 86, Issue 2, Pages 3–24
DOI: https://doi.org/10.4213/im9099
Bibliographic databases:
Document Type: Article
UDC: 517.958+517.977
MSC: Primary 49J20; Secondary 35Q35, 35Q79
Language: English
Original paper language: Russian
Citation: E. S. Baranovskii, “The optimal start control problem for two-dimensional Boussinesq equations”, Izv. RAN. Ser. Mat., 86:2 (2022), 3–24; Izv. Math., 86:2 (2022), 221–242
Citation in format AMSBIB
\Bibitem{Bar22}
\by E.~S.~Baranovskii
\paper The optimal start control problem for two-dimensional Boussinesq equations
\jour Izv. RAN. Ser. Mat.
\yr 2022
\vol 86
\issue 2
\pages 3--24
\mathnet{http://mi.mathnet.ru/im9099}
\crossref{https://doi.org/10.4213/im9099}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461232}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022IzMat..86..221B}
\transl
\jour Izv. Math.
\yr 2022
\vol 86
\issue 2
\pages 221--242
\crossref{https://doi.org/10.1070/IM9099}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000797197800001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85118490059}
Linking options:
  • https://www.mathnet.ru/eng/im9099
  • https://doi.org/10.1070/IM9099
  • https://www.mathnet.ru/eng/im/v86/i2/p3
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:742
    Russian version PDF:47
    English version PDF:47
    Russian version HTML:250
    References:77
    First page:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024