Irreducible function bases for simple fluids and liquid crystal films

Irreducible function bases for simple fluids and liquid crystal films
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DOI:
10.1007/s00033-003-2038-3
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发表时间:
2003-05-01
影响因子:
2
通讯作者:
Steigmann, DJ
Steigmann, DJ
中科院分区:
数学3区
文献类型:
--
作者:
Steigmann, DJ

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我们严格地推导了液晶膜的一类本构函数的正则表示,它以各种特殊形式广泛地应用于乳胶化学和细胞膜生物学领域。该表示法产生与适当的流动性定义兼容的最大函数类。所用的方法还提供了经典毛细管理论和三维可压缩流体中已建立的表示式。
We present a rigorous derivation of the canonical representation of a class of constitutive functions for liquid crystal films which has been widely used in various special forms in the fields of emulsion chemistry and cell-membrane biology. The representation yields the largest class of functions compatible with an appropriate definition of fluidity. The method used also furnishes established representation formulas in the classical theories of capillarity and three-dimensional compressible fluids.