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Stability of one-phase equilibrium states of a two-phase elastic medium with zero surface tension coefficient. One-dimensional case

✍ Scribed by V. G. Osmolovskii

Publisher: Springer US
Year: 2006
Tongue: English
Weight: 218 KB
Volume: 135
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-006-0173-z

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## Abstract We consider the problem of minimizing among functions __u__:ℝ^__d__^⊃Ω→ℝ^__d__^, __u__~∣∂Ω~=0, and measurable subsets __E__ of Ω. Here __f__~__h__~^+^, __f__^−^ denote quadratic potentials defined on Ω¯×{symmetric __d__×__d__ matrices}, __h__ is the minimum energy of __f__~__h__~^+^ an