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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 259, Pages 182–194 (Mi znsl1056)  

Matching of two modes of the registration of surface energy for a problem about phase transitions in a thermoelasticity

V. G. Osmolovskii

Saint-Petersburg State University
Abstract: In the present paper matching two modes of the registration of a ourface energy in a problem about phase transitions in the theory of a thermoelasticity will be arried out. In the first mode the surface energy is considered of a proportional interfacial area of phases. In the second case the surface energy is taken into account by an indirect fashion, as an integral from highiv derivatives of a field of displacements. The likenesses and differences of association of equilibrium states from parameters for two different of a regularization are become clear.
Received: 05.01.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 109, Issue 5, Pages 1940–1949
DOI: https://doi.org/10.1023/A:1014448509634
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. G. Osmolovskii, “Matching of two modes of the registration of surface energy for a problem about phase transitions in a thermoelasticity”, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Zap. Nauchn. Sem. POMI, 259, POMI, St. Petersburg, 1999, 182–194; J. Math. Sci. (New York), 109:5 (2002), 1940–1949
Citation in format AMSBIB
\Bibitem{Osm99}
\by V.~G.~Osmolovskii
\paper Matching of two modes of the registration of surface energy for a problem about phase transitions in a thermoelasticity
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 259
\pages 182--194
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1056}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754363}
\zmath{https://zbmath.org/?q=an:1153.74363}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 109
\issue 5
\pages 1940--1949
\crossref{https://doi.org/10.1023/A:1014448509634}
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