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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 288, Pages 134–151 (Mi znsl1587)  

Equilibrium states of stratified two-phase bodies under given boundary loads

V. G. Osmolovskii

Saint-Petersburg State University
Abstract: An elastic body with the classical double-well potental is considered. It is assumed that the hydrostatic pressure is given on the boundary of the body and the surface-tension coefficient is zero. It is shown that equilibrium states, describing the strarifield distribution of phases, cannot be local minimizers of the energy functional.
Received: 30.05.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 123, Issue 6, Pages 4597–4606
DOI: https://doi.org/10.1023/B:JOTH.0000041477.69269.61
Bibliographic databases:
UDC: 517.9+539.3
Language: Russian
Citation: V. G. Osmolovskii, “Equilibrium states of stratified two-phase bodies under given boundary loads”, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Zap. Nauchn. Sem. POMI, 288, POMI, St. Petersburg, 2002, 134–151; J. Math. Sci. (N. Y.), 123:6 (2004), 4597–4606
Citation in format AMSBIB
\Bibitem{Osm02}
\by V.~G.~Osmolovskii
\paper Equilibrium states of stratified two-phase bodies under given boundary loads
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 288
\pages 134--151
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1587}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1923548}
\zmath{https://zbmath.org/?q=an:1079.74546}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 123
\issue 6
\pages 4597--4606
\crossref{https://doi.org/10.1023/B:JOTH.0000041477.69269.61}
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