Loading [MathJax]/jax/output/SVG/config.js
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, 2010, Volume 87, Issue 2, Pages 246–261
DOI: https://doi.org/10.4213/mzm7706 (Mi mzm7706) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Solvability of the System of Equations of One-Dimensional Motion of a Heat-Conducting Two-Phase Mixture

A. A. Papin, I. G. Akhmerova

Altai State University
Full-text PDF (527 kB) Citations (17)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm7706
Abstract: We prove the local solvability of the initial boundary-value problem for the system of equations of one-dimensional nonstationary motion of a heat-conducting two-phase mixture (gas plus solid particles). For the case in which the real densities of the phases are constant, we establish the solvability “in the large” with respect to time.
Keywords: motion of a heat-conducting two-phase mixture, quasilinear system of equations, viscous gas, Lebesgue space, Hölder space, Lagrangian variable, Cauchy problem, parabolic equation, Tikhonov–Schauder theorem, incompressible medium.
Received: 17.02.2009
Revised: 14.06.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 2, Pages 230–243
DOI: https://doi.org/10.1134/S0001434610010293
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: A. A. Papin, I. G. Akhmerova, “Solvability of the System of Equations of One-Dimensional Motion of a Heat-Conducting Two-Phase Mixture”, Mat. Zametki, 87:2 (2010), 246–261; Math. Notes, 87:2 (2010), 230–243
Citation in format AMSBIB
\Bibitem{PapAkh10}
\by A.~A.~Papin, I.~G.~Akhmerova
\paper Solvability of the System of Equations of One-Dimensional Motion of a Heat-Conducting Two-Phase Mixture
\jour Mat. Zametki
\yr 2010
\vol 87
\issue 2
\pages 246--261
\mathnet{http://mi.mathnet.ru/mzm7706}
\crossref{https://doi.org/10.4213/mzm7706}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2731475}
\transl
\jour Math. Notes
\yr 2010
\vol 87
\issue 2
\pages 230--243
\crossref{https://doi.org/10.1134/S0001434610010293}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000276064800029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949971675}
Linking options:
  • https://www.mathnet.ru/eng/mzm7706
  • https://doi.org/10.4213/mzm7706
  • https://www.mathnet.ru/eng/mzm/v87/i2/p246
    • This publication is cited in the following 17 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:578
    Full-text PDF :239
    References:103
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025