THE SECOND STEKLOFF EIGENVALUE AND ENERGY DISSIPATION INEQUALITIES FOR FUNCTIONALS WITH SURFACE ENERGY
THE SECOND STEKLOFF EIGENVALUE AND ENERGY DISSIPATION INEQUALITIES FOR FUNCTIONALS WITH SURFACE ENERGY
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具有表面能的泛函的第二STEKLOFF特征值和能量耗散不等式
DOI：
10.1137/s0036141096310144
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发表时间：
1998
影响因子：
2
通讯作者：
R. Lipton
中科院分区：
文献类型：
--
作者：
R. Lipton
被认为是一个功能体和界面的表面能。它对应于在两相界面处存在电接触电阻的情况下两相电导体内部耗散的能量。研究了将高导电粒子嵌入导电性较低的基体中的效果。我们发现的标准，确定当表面能的增加匹配或超过与粒子相关联的体能量的减少。这个准则是普遍的，适用于任何粒子与Lipschitz连续边界。它是根据粒子的第二Stekloff本征值的。这一结果提供了选择能量最小化配置的手段。
A functional with both bulk and interfacial surface energy is considered. It corresponds to the energy dissipated inside a two-phase electrical conductor in the presence of an electrical contact resistance at the two-phase interface. The effect of embedding a highly conducting particle into a matrix of lesser conductivity is investigated. We find the criterion that determines when the increase in surface energy matches or exceeds the reduction in bulk energy associated with the particle. This criterion is general and applies to any particle with Lipschitz continuous boundary. It is given in terms of the of the second Stekloff eigenvalue of the particle. This result provides the means for selecting energy-minimizing configurations.