A New Approach to Non-Isothermal Models for Nematic Liquid Crystals
A New Approach to Non-Isothermal Models for Nematic Liquid Crystals
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DOI：
10.1007/s00205-012-0517-4
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发表时间：
2011-04
影响因子：
2.5
通讯作者：
E. Feireisl;M. Frémond;E. Rocca;Giulio Schimperna
中科院分区：
文献类型：
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作者：
E. Feireisl;M. Frémond;E. Rocca;Giulio Schimperna
我们引入了一类新的非等温模型来描述液晶的演化，并证明了它们与经典热力学基本定律的一致性。由此产生的方程组捕捉物理相关的模型的所有基本特征，特别是，拉伸的导演字段的效果被考虑在内。此外，相关的初边值问题承认全球的时间弱解没有任何必要的限制，对初始数据的大小。
We introduce a new class of non-isothermal models describing the evolution of nematic liquid crystals and prove their consistency with the fundamental laws of classical thermodynamics. The resulting system of equations captures all essential features of physically relevant models; in particular, the effect of stretching of the director field is taken into account. In addition, the associated initial-boundary value problem admits global-in-time weak solutions without any essential restrictions on the size of the initial data.