Anderson DA, Stewart IW
Department of Mathematics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, United Kingdom.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Oct;62(4 Pt A):5043-55. doi: 10.1103/physreve.62.5043.
The aim of this article is to establish some theoretical linear and nonlinear stability results for a dynamic equation that frequently appears in the smectic-C and ferroelectric smectic-C* liquid crystal literature. We consider finite planar samples confined between bounding plates as well as infinite samples. Many of the results depend on extensions of work for a nonlinear diffusion equation. Critical maximum magnitudes of applied static electric fields are determined, below which stability of a certain constant equilibrium state is ensured.
本文的目的是为一个常出现在近晶C相和铁电近晶C*相液晶文献中的动力学方程建立一些理论线性和非线性稳定性结果。我们考虑了限制在边界板之间的有限平面样本以及无限样本。许多结果依赖于对一个非线性扩散方程相关工作的拓展。确定了所施加静电场的临界最大幅值，低于该幅值可确保某一恒定平衡态的稳定性。
