论文标题

对流粘性Cahn-Hilliard/Allen-Cahn方程:精确的解决方案

Convective Viscous Cahn-Hilliard/Allen-Cahn Equation: Exact Solutions

论文作者

Mchedlov-Petrosyan, P. O., Davydov, L. N.

论文摘要

最近,使用了众所周知的Cahn-Hilliard和Allen-Cahn方程的组合来描述表面过程,例如同时吸附/解吸和表面扩散。在本文中,我们考虑了Cahn-Hilliard/Allen-Cahn方程的一维版本,并配有对流和粘性术语。获得了精确的解决方案,并讨论了其存在的条件以及应用领域的影响和其他耗散的影响。

Recently the combination of the well-known Cahn-Hilliard and Allen-Cahn equations was used to describe surface processes, such as simultaneous adsorption/desorption and surface diffusion. In the present paper we have considered the one-dimensional version of the Cahn-Hilliard/Allen-Cahn equation complemented with convective and viscous terms. Exact solutions are obtained and the conditions of their existence as well as the influence of applied field and additional dissipation are discussed.

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