RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find






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


J. Sib. Fed. Univ. Math. Phys., 2018, Volume 11, Issue 4, Pages 482–493 (Mi jsfu681)  

A priori estimates of the adjoint problem describing the slow flow of a binary mixture and a fluid in a channel

Victor K. Andreevab, Marina V. Efimovaba

a Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
b Institute of Computational Modeling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036, Russia

Abstract: We obtain a priori estimates of the solution in the uniform metric for a linear conjugate initial-boundary inverse problem describing the joint motion of a binary mixture and a viscous heat-conducting liquid in a plane channel. With their help, it is established that the solution of the non-stationary problem with time growth tends to a stationary solution according to the exponential law when the temperature on the channel walls stabilizes with time.

Keywords: conjugate problem, inverse problem, a priori estimates, asymptotic behavior.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00229_а
The work received financial support from RFBR (project 17-01-00229).


DOI: https://doi.org/10.17516/1997-1397-2018-11-4-482-493

Full text: PDF file (131 kB)
References: PDF file   HTML file

Bibliographic databases:

UDC: 517.9
Received: 21.03.2018
Received in revised form: 08.04.2018
Accepted: 25.06.2018
Language:

Citation: Victor K. Andreev, Marina V. Efimova, “A priori estimates of the adjoint problem describing the slow flow of a binary mixture and a fluid in a channel”, J. Sib. Fed. Univ. Math. Phys., 11:4 (2018), 482–493

Citation in format AMSBIB
\Bibitem{AndEfi18}
\by Victor~K.~Andreev, Marina~V.~Efimova
\paper A priori estimates of the adjoint problem describing the slow flow of a binary mixture and a fluid in a channel
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 4
\pages 482--493
\mathnet{http://mi.mathnet.ru/jsfu681}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-4-482-493}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000442257900010}


Linking options:
  • http://mi.mathnet.ru/eng/jsfu681
  • http://mi.mathnet.ru/eng/jsfu/v11/i4/p482

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
    Number of views:
    This page:96
    Full text:27
    References:12

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020