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Dependence of an equilibrium state of a two-phase medium on surface tension coefficient and on temperature

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Abstract

An existence theorem for the variational problem for the two-phase medium energy functional is proved. Dependence of the solution on the surface tension coefficient and on the temperature is investigated. Bibliography: 7 titles.

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Literature Cited

  1. M. A. Grinfeld,Methods of Mechanics of Solids in The Theory of Phase Transitions [in Russian], Nauka, Moscow (1990).

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  2. E. Guisti,Minimal Surfaces and Functions of Bounded Variation, Birkhäuser, Boston-Basel-Stuttgart (1984).

    Google Scholar 

  3. D. M. Burago and V. A. Zalgaller,Geometric Inequalities [in Russian], Nauka, Leningrad (1980).

    Google Scholar 

  4. S. Fučik and A. Kufner,Nonlinear Differential Equations, Elsevier Scient. Publ. Comp., Amsterdam-Oxford-New York (1980).

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  5. V. G. Osmolovski, “Existence theory and a weak form of the Lagrange equations for the variational problem of the theory of phase transitions,”Sib. Mat. Zh., (to appear) (1994).

  6. N. F. Morozov and V. G. Osmolovski, “On the statement, and existence theorem for the variational problem of phase transitions in the solid medium mechanics,”Zh. Prikl. Mat. Mekh. (to appear) (1994).

  7. J. M. Ball and R. D. James, “Fine phase mixtures as minimizers of energy,”Arch. Rat. Mech. Anal.,100, 13–52 (1987).

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Dedicated to V. A. Solonnikov on his sixtieth anniversary

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 213, 1994, pp. 131–150.

Translated by S. Yu. Pilyugin.

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Osmolovski, V.G. Dependence of an equilibrium state of a two-phase medium on surface tension coefficient and on temperature. J Math Sci 84, 898–910 (1997). https://doi.org/10.1007/BF02399941

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  • DOI: https://doi.org/10.1007/BF02399941

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