论文标题
具有滞后的相位模型的周期性解决方案
Periodic solutions of a phase-field model with hysteresis
论文作者
论文摘要
在本文中，我们考虑了一个部分差分系统，该系统描述了一个相位场模型，该模型对订单参数的温度依赖性约束。该系统由具有相当通用的非线性热源项和相位动力学方程式的能量平衡方程组成，该方程考虑了该过程的滞后特征。在定义相应磁滞区域的曲线上的一组假设集中，证明了该系统的周期性解决方案的存在。
In the present paper we consider a partial differential system describing a phase-field model with temperature dependent constraint for the order parameter. The system consists of an energy balance equation with a fairly general nonlinear heat source term and a phase dynamics equation which takes into account the hysteretic character of the process. The existence of a periodic solution for this system is proved under a minimal set of assumptions on the curves defining the corresponding hysteresis region.
