Algebra i Analiz
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



Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find






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


Algebra i Analiz, 2010, Volume 22, Issue 6, Pages 214–234 (Mi aa1220)  

This article is cited in 7 scientific papers (total in 7 papers)

Research Papers

A variational problem of phase transitions for a two-phase elastic medium with zero coefficient of surface tension

V. G. Osmolovskiĭ
Full-text PDF (299 kB) Citations (7)
References:
Abstract: The variational problem on the equilibrium of a two-phase elastic medium is given in an extended form and is compared with the standard setting. The lower semicontinuity of the energy functional in the extended formulation is studied, and an example is constructed where no equilibrium states exist for a special class of residual strain tensors. In the case of isotropic media, a method is described for finding equilibrium states in explicit form. The notion of temperatures of phase transitions is introduced, their existence is proved, and their properties are studied.
Keywords: free surfaces, nonconvex variational problems, phase transitions in continuum mechanics.
Received: 30.06.2010
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 6, Pages 1007–1022
DOI: https://doi.org/10.1090/S1061-0022-2011-01181-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. G. Osmolovskiǐ, “A variational problem of phase transitions for a two-phase elastic medium with zero coefficient of surface tension”, Algebra i Analiz, 22:6 (2010), 214–234; St. Petersburg Math. J., 22:6 (2011), 1007–1022
Citation in format AMSBIB
\Bibitem{Osm10}
\by V.~G.~Osmolovski{\v\i}
\paper A variational problem of phase transitions for a~two-phase elastic medium with zero coefficient of surface tension
\jour Algebra i Analiz
\yr 2010
\vol 22
\issue 6
\pages 214--234
\mathnet{http://mi.mathnet.ru/aa1220}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2760092}
\zmath{https://zbmath.org/?q=an:05988189}
\transl
\jour St. Petersburg Math. J.
\yr 2011
\vol 22
\issue 6
\pages 1007--1022
\crossref{https://doi.org/10.1090/S1061-0022-2011-01181-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000297091500010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84871403790}
Linking options:
  • https://www.mathnet.ru/eng/aa1220
  • https://www.mathnet.ru/eng/aa/v22/i6/p214
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
    Statistics & downloads:
    Abstract page:395
    Full-text PDF :104
    References:43
    First page:9
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024