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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 508, Pages 134–146 (Mi znsl7173)  
This article is cited in 1 scientific paper (total in 1 paper)

One-dimensional problem of phase transitions in the mechanics of a continous medium at a variable temperature

V. G. Osmolovskii

Saint Petersburg State University
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Abstract: The paper formulates a one-dimensional variational problem of the theory of phase transitions in the mechanics of continuous media in the presence of temperature fields depending on the spatial variable. Its unique solvability is proved and a number of propeties of its are discussed.
Key words and phrases: nonconvex variational problems, phase transitions, free boundary problems.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00630
Received: 07.10.2021
English version:
Journal of Mathematical Sciences (New York), 2024, Volume 283, Issue 5, Pages 788–796
DOI: https://doi.org/10.1007/s10958-024-07308-5
Document Type: Article
UDC: 517
Language: Russian
Citation: V. G. Osmolovskii, “One-dimensional problem of phase transitions in the mechanics of a continous medium at a variable temperature”, Boundary-value problems of mathematical physics and related problems of function theory. Part 49, Zap. Nauchn. Sem. POMI, 508, POMI, St. Petersburg, 2021, 134–146; J. Math. Sci. (N. Y.), 283:5 (2024), 788–796
Citation in format AMSBIB
\Bibitem{Osm21}
\by V.~G.~Osmolovskii
\paper One-dimensional problem of phase transitions in the mechanics of a continous medium at a variable temperature
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~49
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 508
\pages 134--146
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7173}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2024
\vol 283
\issue 5
\pages 788--796
\crossref{https://doi.org/10.1007/s10958-024-07308-5}
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    • 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
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