Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2019, Volume 105, Issue 5, Pages 708–723
DOI: https://doi.org/10.4213/mzm12052 (Mi mzm12052) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Nonextendable Solutions and Blow-Ups of Solutions of Pseudoparabolic Equations with Coercive and Constant-Sign Nonlinearities: Analytical and Numerical Study

I. I. Kolotov, A. A. Panin

Lomonosov Moscow State University
Full-text PDF (558 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm12052
Abstract: The blow-up of solutions of two initial boundary-value problems different in the form of the equation's nonlinearity is investigated. This leads to different approaches to the analytical proof of the blow-up of solutions, but a result about the blow-up of solutions is obtained in both cases. The analytical study is supplemented by numerical investigations, which make it possible to determine the time of the blow-up and its character in each particular case.
Keywords: blow-up, nonextendable solution, pseudoparabolic equation, Richardson extrapolation.
Funding agency Grant number
Russian Science Foundation 18-11-00042
This work was supported by the Russian Science Foundation under grant 18-11-00042.
Received: 23.04.2018
Revised: 20.06.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 5, Pages 694–706
DOI: https://doi.org/10.1134/S0001434619050067
Bibliographic databases:
Document Type: Article
UDC: 517.957+519.6
Language: Russian
Citation: I. I. Kolotov, A. A. Panin, “On Nonextendable Solutions and Blow-Ups of Solutions of Pseudoparabolic Equations with Coercive and Constant-Sign Nonlinearities: Analytical and Numerical Study”, Mat. Zametki, 105:5 (2019), 708–723; Math. Notes, 105:5 (2019), 694–706
Citation in format AMSBIB
\Bibitem{KolPan19}
\by I.~I.~Kolotov, A.~A.~Panin
\paper On Nonextendable Solutions and Blow-Ups of Solutions of Pseudoparabolic Equations with Coercive and Constant-Sign Nonlinearities: Analytical and Numerical Study
\jour Mat. Zametki
\yr 2019
\vol 105
\issue 5
\pages 708--723
\mathnet{http://mi.mathnet.ru/mzm12052}
\crossref{https://doi.org/10.4213/mzm12052}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3951591}
\elib{https://elibrary.ru/item.asp?id=37424225}
\transl
\jour Math. Notes
\yr 2019
\vol 105
\issue 5
\pages 694--706
\crossref{https://doi.org/10.1134/S0001434619050067}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000473246800006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85068190431}
Linking options:
  • https://www.mathnet.ru/eng/mzm12052
  • https://doi.org/10.4213/mzm12052
  • https://www.mathnet.ru/eng/mzm/v105/i5/p708
    • 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
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:293
    Full-text PDF :121
    References:23
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024