Variational problem of the two-phase medium elasticity theory for the zero surface tension coefficient

被引：0
作者：
Osmolovskii V.G.
机构：
来源：
Journal of Mathematical Sciences | 1997年 / 87卷 / 2期
关键词：
Surface Tension; Equilibrium State; Variational Problem; Elasticity Theory; Existence Theorem;
D O I：
10.1007/BF02355591
中图分类号：
学科分类号：
摘要：
In this article, we give a proof of the existence theorem for an equilibrium state for the surface tension coefficient σ = 0 and investigate the behavior of the equilibrium state for small σ. © 1997 Plenum Publishing Corporation.
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页码：3409 / 3420
页数：11
相关论文
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  • [1] Osmolovskii V.G., Existence theory and a weak form of the Lagrange equations for the variational problem of the theory of phase transitions, Sib. Mat. Zh., 35, pp. 835-846, (1994)
  • [2] Osmolovskii V.G., Dependence of an equilibrium state of a two-phase medium on the surface tension coefficient and on the temperature, Zap. Nauchn. Semin. POMI, 213, pp. 131-150, (1994)
  • [3] Morozov N.F., Osmolovskii V.G., On the statement and existence theorem for the variational problem in the solid mechanics, Zh. Prikl. Mat. Mekh., 58, pp. 125-132, (1994)
  • [4] Osmolovskii V.G., Phase Transitions in the Solid Medium Mechanics under Large Loads
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