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

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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 508, Pages 134–146 (Mi znsl7173)

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

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

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}

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https://www.mathnet.ru/eng/znsl7173

https://www.mathnet.ru/eng/znsl/v508/p134

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	31
References:	15

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