Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 12, Pages 2115–2124
DOI: https://doi.org/10.7868/S0044466916120103 (Mi zvmmf10501) 		 
A model of liquid level measurements

O. P. Filatov

Samara State University, Samara, Russia
Full-text PDF (148 kB)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466916120103
Abstract: A model of measuring the level of a viscous incompressible liquid in a tank as based on the liquid level in a measuring tube is investigated. The tank is in the field of gravity, and the tank liquid level varies according to some law. As a result, a Dirichlet boundary value problem for a nonlinear integrodifferential equation of parabolic type is obtained. A global existence and uniqueness theorem is proved for a weak solution of the problem. In the case of a tank level decreasing linearly with time, it is shown numerically that the liquid level in the measuring tube oscillates with a decaying amplitude with respect to the tank level.
Key words: model for liquid level measurement, nonlinear integrodifferential equation, parabolic type, Dirichlet boundary value problem, weak solution, global solvability, uniqueness of a solution.
Received: 26.01.2015
Revised: 09.02.2016
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 12, Pages 2084–2093
DOI: https://doi.org/10.1134/S0965542516120095
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. P. Filatov, “A model of liquid level measurements”, Zh. Vychisl. Mat. Mat. Fiz., 56:12 (2016), 2115–2124; Comput. Math. Math. Phys., 56:12 (2016), 2084–2093
Citation in format AMSBIB
\Bibitem{Fil16}
\by O.~P.~Filatov
\paper A model of liquid level measurements
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2016
\vol 56
\issue 12
\pages 2115--2124
\mathnet{http://mi.mathnet.ru/zvmmf10501}
\crossref{https://doi.org/10.7868/S0044466916120103}
\elib{https://elibrary.ru/item.asp?id=27640195}
\transl
\jour Comput. Math. Math. Phys.
\yr 2016
\vol 56
\issue 12
\pages 2084--2093
\crossref{https://doi.org/10.1134/S0965542516120095}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391821900012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85006923019}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10501
  • https://www.mathnet.ru/eng/zvmmf/v56/i12/p2115
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:257
    Full-text PDF :47
    References:55
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024