Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
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



TMF:
Year:
Volume:
Issue:
Page:
Find






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


Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 170, Number 3, Pages 342–349
DOI: https://doi.org/10.4213/tmf6771
(Mi tmf6771)
 

This article is cited in 6 scientific papers (total in 6 papers)

Blowup of solutions of the three-dimensional Rosenau–Burgers equation

M. O. Korpusov

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (377 kB) Citations (6)
References:
Abstract: We consider the initial boundary value problem for the well-known three-dimensional Rosenau–Burgers equation in the cylinder $(0,L)\otimes\mathbb{S}$ (where $\mathbb{S}\subset\mathbb{R}^2$) for some boundary conditions. Using the test-function method, we obtain the result on the blowup of solutions of this initial boundary value problem during a finite time. This is one of the first results in the “blowup” direction for this equation.
Keywords: finite-time blowup, Sobolev-type nonlinear equation, nonlinear mixed boundary value problem, hydrodynamics, semiconductor, Rosenau–Burgers equation.
Received: 11.04.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 170, Issue 3, Pages 280–286
DOI: https://doi.org/10.1007/s11232-012-0030-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. O. Korpusov, “Blowup of solutions of the three-dimensional Rosenau–Burgers equation”, TMF, 170:3 (2012), 342–349; Theoret. and Math. Phys., 170:3 (2012), 280–286
Citation in format AMSBIB
\Bibitem{Kor12}
\by M.~O.~Korpusov
\paper Blowup of solutions of the~three-dimensional Rosenau--Burgers equation
\jour TMF
\yr 2012
\vol 170
\issue 3
\pages 342--349
\mathnet{http://mi.mathnet.ru/tmf6771}
\crossref{https://doi.org/10.4213/tmf6771}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3168845}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012TMP...170..280K}
\elib{https://elibrary.ru/item.asp?id=20732429}
\transl
\jour Theoret. and Math. Phys.
\yr 2012
\vol 170
\issue 3
\pages 280--286
\crossref{https://doi.org/10.1007/s11232-012-0030-9}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000303456600003}
\elib{https://elibrary.ru/item.asp?id=17983913}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860366777}
Linking options:
  • https://www.mathnet.ru/eng/tmf6771
  • https://doi.org/10.4213/tmf6771
  • https://www.mathnet.ru/eng/tmf/v170/i3/p342
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024