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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2001, Volume 42, Issue 1, Pages 102–107 (Mi pmtf2719)  
Homogenization of the process of phase transitions in multidimensional heterogeneous periodic media

I. A. Kalieva, G. S. Sabitovab

a Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
b Novosibirsk Military Institute, Novosibirsk, 630117
Full-text PDF (238 kB)
Abstract: The homogenization of the Stefan multidimensional problem is carried out in the case where the medium is a composite consisting of two different substances with an $\varepsilon$–periodic structure. The averaged problem is deduced by asymptotic methods. It is shown that its solution is the limit of solutions of $\varepsilon$–problems.
Received: 23.05.2000
English version:
Journal of Applied Mechanics and Technical Physics, 2001, Volume 42, Issue 1, Pages 91–96
DOI: https://doi.org/10.1023/A:1018864713214
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: I. A. Kaliev, G. S. Sabitova, “Homogenization of the process of phase transitions in multidimensional heterogeneous periodic media”, Prikl. Mekh. Tekh. Fiz., 42:1 (2001), 102–107; J. Appl. Mech. Tech. Phys., 42:1 (2001), 91–96
Citation in format AMSBIB
\Bibitem{KalSab01}
\by I.~A.~Kaliev, G.~S.~Sabitova
\paper Homogenization of the process of phase transitions in multidimensional heterogeneous periodic media
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2001
\vol 42
\issue 1
\pages 102--107
\mathnet{http://mi.mathnet.ru/pmtf2719}
\elib{https://elibrary.ru/item.asp?id=17262001}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2001
\vol 42
\issue 1
\pages 91--96
\crossref{https://doi.org/10.1023/A:1018864713214}
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