论文标题

具有Schlögl反应的Cahn-Hilliard模型:平衡和非平衡相变的相互作用。 I.行驶波解决方案

Cahn-Hilliard model with Schlögl reactions: interplay of equilibrium and non-equilibrium phase transitions. I. Travelling wave solutions

论文作者

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

论文摘要

目前的工作专门用于基于修改的Cahn-Hilliard方程,平衡和非平衡相变的相互作用。非平衡相变为通过Schlögl反应系统建模。我们考虑将这两个过渡结合在一起的前进前线。获得波动波解决方案;详细研究了它们的存在和对模型参数的依赖条件。讨论了存在非平衡相的可能性。

The present work is devoted to the modelling which is based on the modified Cahn-Hilliard equation, the interplay of equilibrium and non-equilibrium phase transitions. The non-equilibrium phase transitions are modelled by the Schlögl reactions systems. We consider the advancing fronts which combine these both transitions. The traveling wave solutions are obtained; the conditions of their existence and dependence on the parameters of the models are studied in detail. The possibility of the existance of non-equilibrated phase is discussed.

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